{"id":153852,"date":"2022-03-25T22:53:02","date_gmt":"2022-03-25T17:23:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/circle-theorems\/"},"modified":"2024-01-20T16:40:38","modified_gmt":"2024-01-20T11:10:38","slug":"circle-theorems","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/","title":{"rendered":"Circle Theorems"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><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><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#What_are_Circle_Theorems\" title=\"What are Circle Theorems?\">What are Circle Theorems?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#All_Theorems_Related_to_Circle\" title=\"All Theorems Related to Circle\">All Theorems Related to Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#Know_Chord_of_a_Circle\" title=\"Know Chord of a Circle\">Know Chord of a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#Circles_Class_9_Theorems\" title=\"Circles Class 9 Theorems\">Circles Class 9 Theorems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#All_Theorems_of_Circle_Class_9\" title=\"All Theorems of Circle Class 9\">All Theorems of Circle Class 9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/circle-theorem\/#Solved_Example\" title=\"Solved Example\">Solved Example<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_are_Circle_Theorems\"><\/span>What are Circle Theorems?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few different circle theorems that deal with specific aspects of circles. One such theorem is the inscribed angle theorem, which states that the measure of an angle inscribed in a circle is half the measure of the intercepted arc. Another theorem is the secant theorem, which states that the length of the secant from a point on a circle to the circumference is equal to the length of the chord drawn from the same point to the circle&#8217;s center.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153851 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/circle-theorems.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/circle-theorems.jpg?v=1648228978 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/circle-theorems-300x212.jpg?v=1648228978 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"All_Theorems_Related_to_Circle\"><\/span>All Theorems Related to Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are several theorems related to circles that can be proved using basic algebra and geometry. Some of these theorems are:<\/p>\n<ol>\n<li>Theorem 1: The sum of the angles in a triangle is 180 degrees.<\/li>\n<li>Theorem 2: The sum of the radii of two circles is equal to the sum of their diameters.<\/li>\n<li>Theorem 3: The product of the radii of two circles is equal to the product of their diameters.<\/li>\n<li>Theorem 4: The area of a circle is equal to pi times the radius squared.<\/li>\n<li>Theorem 5: The circumference of a circle is equal to pi times the diameter.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Know_Chord_of_a_Circle\"><\/span>Know Chord of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A chord of a circle is a line segment that connects two points on a circle. The length of the chord is the distance between the points.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Circles_Class_9_Theorems\"><\/span>Circles Class 9 Theorems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few theorems that are specific to circles.<\/p>\n<p>1. The Angle at the Center of a Circle is a Right Angle<\/p>\n<p>2. The Radius of a Circle is Half the Distance from the Center to the Edge<\/p>\n<p>3. The Area of a Circle is Pi*r^2<\/p>\n<p>4. The Circumference of a Circle is Pi*d<\/p>\n<h2><span class=\"ez-toc-section\" id=\"All_Theorems_of_Circle_Class_9\"><\/span>All Theorems of Circle Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Theorem 1:<\/p>\n<p>A circle is the set of all points in a plane that are equidistant from a given point, called the center of the circle.<\/p>\n<p>Theorem 2:<\/p>\n<p>The length of the circumference of a circle is always the same.<\/p>\n<p>Theorem 3:<\/p>\n<p>The area of a circle is proportional to the square of the radius.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_Example\"><\/span>Solved Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following example illustrates how to find the equation of a line using the slope-intercept form.<\/p>\n<p>The equation of a line with slope 3 and y-intercept (0, 2) is y = 3x + 2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are Circle Theorems? There are a few different circle theorems that deal with specific aspects of circles. One such [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Circle Theorems","_yoast_wpseo_title":"Circle Theorems: Understanding Geometry Principles & Theorems","_yoast_wpseo_metadesc":"Learn about Circle Theorems topic of Maths in details explained by subject experts on infinitylearn.com. 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