{"id":37745,"date":"2023-08-23T11:38:31","date_gmt":"2023-08-23T17:08:31","guid":{"rendered":"https:\/\/therightmentor.com\/?p=37745"},"modified":"2024-06-13T19:19:06","modified_gmt":"2024-06-13T13:49:06","slug":"circles-study","status":"publish","type":"post","link":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/","title":{"rendered":"CIRCLES | Study"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Click For Contents <\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Pre-Requisires\" >Pre-Requisires<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Circles_Speed_Notes\" >Circles | Speed Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Introduction_to_Circles\" >Introduction to Circles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Study_Tools\" >Study Tools<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Circles\" >Circles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Interior_and_Exterior_of_a_Circle\" >Interior and Exterior of a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Terms_related_to_circle\" >Terms related to circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Segment_and_Sector_of_the_Circle\" >Segment and Sector of the Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Angle_Subtended_by_a_Chord_at_a_Point\" >Angle Subtended by a Chord at a Point<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Circle_through_Three_Points\" >Circle through Three Points<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Equal_Chords_and_Their_Distances_from_the_Centre\" >Equal Chords and Their Distances from the Centre<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Angle_Subtended_by_an_Arc_of_a_Circle\" >Angle Subtended by an Arc of a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Dig_Deep\" >Dig Deep<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Sub_%E2%80%93_Topics\" >Sub &#8211; Topics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Chapters_Index\" >Chapters Index<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-9-mathematics-study-premium\/circles-study\/#Assessments\" >Assessments<\/a><\/li><\/ul><\/nav><\/div>\n\n<hr class=\"wp-block-separator alignfull has-text-color has-vivid-cyan-blue-color has-alpha-channel-opacity has-vivid-cyan-blue-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignfull has-tertiary-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-19c400f2 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0\">\n<div class=\"wp-block-buttons alignfull is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-6e9f73ed wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-base-color has-vivid-red-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/therightmentor.com\/number-systems-assessments\/\">Assess<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-vivid-cyan-blue-background-color has-background wp-element-button\" style=\"border-width:2px\">Interact<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-tertiary-background-color has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<h2 class=\"wp-block-heading has-large-font-size\"><span class=\"ez-toc-section\" id=\"Pre-Requisires\"><\/span>Pre-Requisires<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-small-font-size\">Test &amp; Enrich<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 has-custom-font-size is-style-outline has-small-font-size is-style-outline--2\"><a class=\"wp-block-button__link has-text-align-left wp-element-button\">Pre &#8211; Requisite<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Circles\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/rOxLyRphb9s?list=PLEuUy4TjqFeAOkz9COEMEDiOCqPLFgr-9\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">English Version<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-background-color has-text-color has-background has-link-color wp-elements-db0b15e22b57474f7f878368e28390af is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circles_Speed_Notes\"><\/span><strong> Circles<\/strong> | <strong>Speed Notes<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong><strong>Notes For Quick Recap<\/strong><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-css-opacity has-background is-style-wide is-style-wide--3\" style=\"background-color:#000000;color:#000000\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Introduction_to_Circles\"><\/span><strong>Introduction to Circles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-group has-medium-font-size is-layout-flow wp-block-group-is-layout-flow\">\n<p>There are many objects in our life which are round in shape. A few examples are the clock, dart board, cartwheel, ring, Vehicle wheel, Coins, etc. <strong>(Scroll down to continue &#8230;)<\/strong><\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"single\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Study_Tools\"><\/span><strong>Study Tools<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Audio, Visual &amp; Digital Content<\/strong><\/p>\n\n\n                <div class=\"igd igd-shortcode-wrap igd-shortcode-slider\"\n                     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\"\n                     style=\"--module-width: 100%; --module-height: ;\"\n                ><\/div>\n                \n\n\n\n<div class=\"wp-block-group has-medium-font-size is-layout-flow wp-block-group-is-layout-flow\">\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circles\"><\/span><strong>Circles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Circles\" src=\"https:\/\/lh5.googleusercontent.com\/8ROs73uVDrLM66eYue8MNWjvUxTGGpxaSqLGc9lyTLAj2w3IMvsuobYvgLBXNNbiL6ENW_Ba5H4-jsLO1m2QpSTsMxCh2A0xze2xG1wRkwTIyXrF53Q8ZddU12O6RUnSL7_xJeyPz-WIivT452qGNg\" width=\"407\" height=\"203\"><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Any closed shape with all points connected at equidistant from the centre forms a Circle.<\/li>\n\n\n\n<li>Any point which is equidistant from anywhere from its boundary is known as the Centre of the Circle.<\/li>\n\n\n\n<li><strong><img decoding=\"async\" width=\"252\" height=\"267\" src=\"https:\/\/lh4.googleusercontent.com\/TUpTAuC362vwwSTMxWBW0plOOr_IDJOZ6oP4Hp4TwXPsoMMlanjaBWoiqT2Xs1EiPsatImrSTqZMuMesKOtszYx11c6Y4S-pnQ7Y6tniA8K8LSVhLg1as-7f2iBUHz3Dc7lV-QjwHa4MwZCy3Uf5eg\" alt=\"Circles\"><\/strong><\/li>\n\n\n\n<li>Radius is a Latin word which means \u2018ray&#8217; but in the circle it is the line segment from the centre of the circle to its edge. So any line starting or ending at the centre of the circle and joining anywhere on the border of the circle is known as the Radius of Circle.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interior_and_Exterior_of_a_Circle\"><\/span><strong>Interior and Exterior of a Circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Interior and Exterior of a Circle\" src=\"https:\/\/lh5.googleusercontent.com\/FHAQHNFjaVY9uqHuPpHxw695QkaqST68rsmCTNkVQgVbeTYqtpUkowJECHxDrlnBx0RjpQR7hapVZbYKSiimW2Fb46eXLTdXsBpDfftmMsPmpo6Sa4AI6U7pW0tbjqcYDwf1lexoiUeqAw08sMjKWQ\" width=\"307\" height=\"193\"><\/strong><\/p>\n\n\n\n<p><strong>In a flat surface, the interior of a circle is the line whose distance from the centre is less than the radius.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>The exterior of a circle is the line in the plane whose distance from the centre is larger than the radius.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Terms_related_to_circle\"><\/span>Terms related to circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Arc\" src=\"https:\/\/lh6.googleusercontent.com\/Jmttvg-m9xALc7OiwEAON0YAHSnfbr2f267tppSNgNLgUKfDkXvAsJzhYcxUIf0mH8Xs4laV0rB8LoOovVlW0eU2mslVPZmjwy3OBpnUa7qsgsWiE0jxMEYqodu-0uTrEDXPMWe80W1ZNLmU6kVgZA\" width=\"493\" height=\"241\"><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Chord: Any straight line segment that\u2019s both endpoints falls on the boundary of the circle is known as Chord. In Latin, it means \u2018bowstring\u2019.<\/li>\n\n\n\n<li>Diameter: Any straight line segment or Chord which passes through the centre of the Circle and its endpoints connects on the boundary of the Circle is known as the Diameter of Circle. So in a circle Diameter is the longest chord possible in a circle.<\/li>\n\n\n\n<li>Arc: Any smooth curve joining two points is known as Arc. So in Circle, we can have two possible Arcs, the bigger one is known as Major Arc and the smaller one is known as Minor Arc.<\/li>\n\n\n\n<li>Circumference: It is the length of the circle if we open and straighten it out to make a line segment.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Segment_and_Sector_of_the_Circle\"><\/span><strong>Segment and Sector of the Circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Segment and Sector of the Circle\" src=\"https:\/\/lh4.googleusercontent.com\/OAntxkDMDBN_Vy0EyQOaL1PUpvSt50TUZQV6c4TXWL5Lyz9kwSn9A62TsBmLY8GFmWmzD5Zzd6I21RTc981N-uAGdrjviTlB25XcOUT_-7Td59royB2TGcflr4AknCWhj-lfkFulEQauS5RZZG2Gjg\" width=\"500\" height=\"256\"><\/strong><\/p>\n\n\n\n<p>A segment of the circle is the region between either of its arcs and a chord. It could be a major or minor segment.<\/p>\n\n\n\n<p>Sector of the circle is the area covered by an arc and two radii joining the centre of the circle. It could be the major or minor sector.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Angle_Subtended_by_a_Chord_at_a_Point\"><\/span><strong>Angle Subtended by a Chord at a Point<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Angle Subtended by a Chord at a Point\" src=\"https:\/\/lh4.googleusercontent.com\/Y-FVnYsosRck8m7eMsHpqcGyFPs4UY6sc2uodzuXryqxIP1ZWVhQwo4MpyCQozQxufa8FzgGarGWxsW0FwPM17Sp1TXoqX8jgDF0L_nJglB_54B3HLqGPNRB75IPLasfK9HthaUuB7Dj7-sCLyBdfQ\" width=\"193\" height=\"213\"><\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-medium-font-size is-layout-flow wp-block-group-is-layout-flow\">\n<p>If in a circle AB is the chord and is making \u2220ACB at any point of the circle then this is the angle subtended by the chord AB at a point C.<\/p>\n\n\n\n<p>&nbsp;Likewise, \u2220AOB is the angle subtended by chord AB at point O i.e. at the centre and \u2220ADB is also the angle subtended by AB at point D on the circle.<\/p>\n\n\n\n<p><strong>Theorem 1: Any two equal chords of a circle subtend equal angles at the centre.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Any two equal chords of a circle subtend equal angles at the centre\" src=\"https:\/\/lh6.googleusercontent.com\/9D73O8RREVxAxNzgAE-RuGHgNf6024WYaL0IEQZfvbV5QDZBabN2dQdZiOlykjG3w7So3fVw5nS5T6X-4v4qMOmPPg1VzSEphhH69ZA-GsVKVwEUAIWnosyHe570rzAnA7Xw2dTvBYHwy-apanIGsA\" width=\"281\" height=\"252\"><\/strong><\/p>\n\n\n\n<p>Here in the circle, the two chords are given and PQ = RS with centre O.<\/p>\n\n\n\n<p>So OP = OS = OQ = OR (all are radii of the circle)<\/p>\n\n\n\n<p>\u2206POQ \u2245 \u2206SOR<\/p>\n\n\n\n<p>\u2220POQ = \u2220SOR&nbsp;&nbsp;<\/p>\n\n\n\n<p>This shows that the angles subtended by equal chords to the centre are also equal.<\/p>\n\n\n\n<p><strong>Theorem 2: If the angles made by the chords of a circle at the centre are equal, then the chords must be equal.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"A perpendicular from the centre of a circle to any chord then it bisects the chord.\" src=\"https:\/\/lh6.googleusercontent.com\/vYJm2fvMegPW3lS0TxCzKkwH9s6MkjDeMQJd3MJ9Tmw1fp3o6fl4gkppQQVHdzydBExTVYML6TT1XHPcNw7v8XJmLkuk8a766P8UTn9BfhWVKATgdXkUz0OXDSD7OPvrU2lo9LaOUOU9OeJLOhER0Q\" width=\"370\" height=\"247\"><\/strong><\/p>\n\n\n\n<p><strong>This theorem is the reverse of the above Theorem 1.<\/strong><\/p>\n\n\n\n<p><strong>Perpendicular from the Centre to a Chord<\/strong><\/p>\n\n\n\n<p><strong>Theorem 3: If we draw a perpendicular from the centre of a circle to any chord then it bisects the chord.<\/strong><\/p>\n\n\n\n<p><strong><\/strong><\/p>\n\n\n\n<p>If we draw a perpendicular from the centre to the chord of the circle then it will bisect the chord. And the bisector will make a 90\u00b0 angle to the chord.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Theorem 4: The line which is drawn from the centre of a circle to bisect a chord must be perpendicular to the chord.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"The centre of a circle to bisect a chord must be perpendicular to the chord.\" src=\"https:\/\/lh6.googleusercontent.com\/iSxm9m5XB20YaDO36awpUQSZ3LsXRkNQMd4QRFx39dpiL30Wl19NfD6igtWJY7-OKOMX7OLDb1DIgiyeTAWTeaE4Raj7QbecFIjVMZXu6hBQS-OSD_cMN82AZUMvKoBbIo94cViICmp735uPBV66oQ\" width=\"212\" height=\"205\"><\/strong><\/p>\n\n\n\n<p>If we draw a line OB from the centre of the circle O to the midpoint of the chord AC i.e. B, then OB is the perpendicular to the chord AB.<\/p>\n\n\n\n<p><strong><\/strong><\/p>\n\n\n\n<p>If we join OA and OC, then<\/p>\n\n\n\n<p>In \u2206OBA and \u2206OBC,<\/p>\n\n\n\n<p>AB = BC (B is the midpoint of AC)<\/p>\n\n\n\n<p>OA = OC (Both are the radii of the same circle)<\/p>\n\n\n\n<p>OB = OB (same side)<\/p>\n\n\n\n<p>Hence, \u0394OBA \u2245 \u0394OBC (both are congruent by SSS congruence rule)<\/p>\n\n\n\n<p>\u21d2 \u2220OBA = \u2220OBC (respective angles of congruent triangles)<\/p>\n\n\n\n<p>\u2220OBA + \u2220OBC = \u2220ABC = 180\u00b0 [Linear pair]\n\n\n\n<p>\u2220OBC + \u2220OBC = 180\u00b0 [Since \u2220OBA = \u2220OBC]\n\n\n\n<p>2 x \u2220OBC = 180\u00b0<\/p>\n\n\n\n<p>\u2220OBC = 90<sup>o<\/sup><\/p>\n\n\n\n<p>\u2220OBC = \u2220OBA = 90\u00b0<\/p>\n\n\n\n<p>\u2234 OB \u22a5 AC<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circle_through_Three_Points\"><\/span><strong>Circle through Three Points<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>Theorem 5: There is one and only one circle passing through three given non-collinear points.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\" one and only one circle passing through three given non-collinear points.\" src=\"https:\/\/lh4.googleusercontent.com\/EWd_9RQudiMiNWXYfImyM1_r1Ajg8a5xPMTV62Rt71V4osOH9rL93oib5DC0D1Ol_JfNmk1-cEZXfikaaSYkw9k3ryk7rlHtAdQlHJeo53XS0VYd99DMnrf8mq9SGcBfoK0Ig4PeAQuYaoqG5NwNAw\" width=\"316\" height=\"286\"><\/strong><\/p>\n\n\n\n<p>In this figure, we have three non-collinear points A, B and C. Let us join AB and BC and then make the perpendicular bisector of both so that RS and PQ the perpendicular bisector of AB and BC respectively meet each other at Point O.<\/p>\n\n\n\n<p>Now take the O as centre and OA as the radius to draw the circle which passes through the three points A, B and C.<\/p>\n\n\n\n<p>This circle is known as Circumcircle. Its centre and radius are known as the Circumcenter and Circumradius.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Equal_Chords_and_Their_Distances_from_the_Centre\"><\/span><strong>Equal Chords and Their Distances from the Centre<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>Theorem 6: Two equal chords of a circle are at equal distance from the centre.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Two equal chords of a circle are at equal distance from the centre.\" src=\"https:\/\/lh4.googleusercontent.com\/OU_ET-X26p0P16m2FDfqmjWGuZWQKu_6SjtRozTqXxA3X1j9iY_L267Iho6qtIvmvL5Fwq6fMovBE4Fse99rhyem2X9jWynvZpkYJqtAhuVBfvMosjwZkMQS9W-gl6JUGqEwUo7-bkpsoEFpE5fYzA\" width=\"271\" height=\"228\"><\/strong><\/p>\n\n\n\n<p>AB and CD are the two equal chords in the circle. If we draw the perpendicular bisector of these chords then the line segment from the centre to the chord is the distance of the chord from the centre.<\/p>\n\n\n\n<p>If the chords are of equal size then their distance from the centre will also be equal.<\/p>\n\n\n\n<p><strong>Theorem 7: Chords at equal distance from the centre of a circle are also equal in length. This is the reverse of the above theorem which says that if the distance between the centre and the chords are equal then they must be of equal length.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Angle_Subtended_by_an_Arc_of_a_Circle\"><\/span><strong>Angle Subtended by an Arc of a Circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Angle Subtended by an Arc of a Circle\" src=\"https:\/\/lh3.googleusercontent.com\/vehArDh1QoF8X0ALiKa_GjGUVa6tiMOAqaHbhSQQhJVnGvB_FGvVIpL79KGFsayYzlL4uBI0j_HLh2FlMUo1ID6AR8t0JDlr0CWUgQmLRHrMQ4xOJXGVIaBairrRN2TUMoAeCAGSxy6107exgsofNQ\" width=\"207\" height=\"192\"><\/strong><\/p>\n\n\n\n<p><strong>The angle made by two different equal arcs to the centre of the circle will also be equal.<\/strong><\/p>\n\n\n\n<p><strong>There are two arcs in the circle AB and CD which are equal in length.<\/strong><\/p>\n\n\n\n<p><strong>So \u2220AOB = \u2220COD.<\/strong><\/p>\n\n\n\n<p><strong>Theorem 8: The angle subtended by an arc at the centre is twice the angle subtended by the same arc at some other point on the remaining part of the circle.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\" The angle subtended by an arc at the centre is twice the angle subtended by the same arc \" src=\"https:\/\/lh5.googleusercontent.com\/LEgC5i69bbPLUHjV99B3i0FHqjyrofHSVzEr_xf6-xCPD-L7w8NBG5Q63GeeSKiqP1ipL1hGFFRjHBNo9b9tr_X-4Um6_R3Vb6hHZQ_cRmADtMPs7RewoQtLSKk2FDiZMtb255psdd9RyRyv3NaN9w\" width=\"217\" height=\"220\"><\/strong><\/p>\n\n\n\n<p><strong>In the above figure \u2220POQ = 2\u2220PRQ.<\/strong><\/p>\n\n\n\n<p><strong>Theorem 9: Angles from a common chord which are on the same segment of a circle are always equal.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Angles from a common chord which are on the same segment of a circle are always equal.\" src=\"https:\/\/lh4.googleusercontent.com\/pUc7Xb6v-3AGNiT-8Te2SLxlr0Gv4aW5_807dVUiAQjRf9JRxvVJwkdwmN054pVTOXSCGwxE1gRct0MmnSc1mAnf5LahTt8eaMMaVvBeJAUmf0GS27c00l5UToVkk9ApYeo8LuP7c_vpSvTS03TyEA\" width=\"253\" height=\"238\"><\/strong><\/p>\n\n\n\n<p>If there are two angles subtended from a chord to any point on the circle which are on the same segment of the circle then they will be equal.<\/p>\n\n\n\n<p>\u2220a = (1\/2) \u2220c (By theorem 8)<\/p>\n\n\n\n<p>\u2220b = (1\/2) \u2220c<\/p>\n\n\n\n<p>\u2220a = \u2220b<\/p>\n\n\n\n<p><strong>Cyclic Quadrilaterals<\/strong><\/p>\n\n\n\n<p><strong>If all the vertices of the quadrilateral come in a circle then it is said to be a cyclic quadrilateral.<\/strong><\/p>\n\n\n\n<p><strong>Theorem 10: Any pair of opposite angles of a cyclic quadrilateral has the sum of 180\u00ba.<\/strong><\/p>\n\n\n\n<p><strong><img decoding=\"async\" alt=\"Cyclic Quadrilaterals\" src=\"https:\/\/lh3.googleusercontent.com\/Fo1fEyRrb2i3SwPZhjzPULzw_WsweikXVGRmGFV9hzfJhubwoThVpHYLtWewmp8SuIqrGxWxx6Y0mpZ5uA149iU3xnvgsPsIxn0JA8IuxmKK9-hLu4skY3fry5v65izg3mMSKq-VGffBFesBnnaF6g\" width=\"227\" height=\"204\"><\/strong><\/p>\n\n\n\n<p>\u2220A + \u2220B + \u2220C + \u2220D = 360\u00ba (angle sum property of a quadrilateral)<\/p>\n\n\n\n<p>\u2220A + \u2220C = 180\u00b0<\/p>\n\n\n\n<p>\u2220B + \u2220D = 180\u00ba<\/p>\n\n\n\n<p><strong>Theorem 11: If the pair of opposite angles of a quadrilateral has a sum of 180\u00ba, then the quadrilateral will be cyclic.<\/strong><\/p>\n\n\n\n<p>This is the reverse of the above theorem.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-fe53acc0 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-f7936561\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Volume\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/dy2ZsRQqK0M?list=PLEuUy4TjqFeAOkz9COEMEDiOCqPLFgr-9\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Hindi Version<\/figcaption><\/figure>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-tertiary-background-color has-text-color has-background has-link-color wp-elements-2e5ac2404643eed0228dee617e0c2bd5 is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"family\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Dig_Deep\"><\/span><strong>Dig Deep<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Topic Level Resources<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--4\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div 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