{"id":153586,"date":"2022-03-25T22:35:20","date_gmt":"2022-03-25T17:05:20","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-segment-circle\/"},"modified":"2023-01-11T10:24:22","modified_gmt":"2023-01-11T04:54:22","slug":"area-segment-circle","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-segment-circle\/","title":{"rendered":"Area Segment Circle"},"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\/area-segment-circle\/#About_the_Segment_of_Circle\" title=\"About the Segment of Circle\">About the Segment of Circle<\/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\/area-segment-circle\/#What_do_You_Mean_by_the_Segment_of_a_Circle\" title=\"What do You Mean by the Segment of a Circle\">What do You Mean by the Segment of a 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\/area-segment-circle\/#Forms_of_Segments_in_a_Circle\" title=\"Forms of Segments in a Circle\">Forms of Segments in 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\/area-segment-circle\/#The_Formula_of_Area_of_Segment_of_a_Circle\" title=\"The Formula of Area of Segment of a Circle:\">The Formula of Area of Segment of a Circle:<\/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\/area-segment-circle\/#Theorems_on_Segment_of_a_Circle\" title=\"Theorems on Segment of a Circle\">Theorems on Segment of a Circle<\/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\/area-segment-circle\/#Questions_to_Solve\" title=\"Questions to Solve:\">Questions to Solve:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-segment-circle\/#Angle_30_%C2%B0\" title=\"Angle = 30 \u00b0\">Angle = 30 \u00b0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-segment-circle\/#Terms_and_Facts_You_need_to_know\" title=\"Terms and Facts, You need to know!\">Terms and Facts, You need to know!<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"About_the_Segment_of_Circle\"><\/span>About the Segment of Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The segment of the circle is the portion of the circle that is between two points on the circle. The segment is measured by the length of the line segment that connects the two points on the circle.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153585 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-segment-circle-300x212.jpg\" alt=\"Area Segment Circle\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-segment-circle-300x212.jpg?v=1648227914 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-segment-circle.jpg?v=1648227914 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_do_You_Mean_by_the_Segment_of_a_Circle\"><\/span>What do You Mean by the Segment of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A segment of a circle is a slice of the circle that is bounded by two points on the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Forms_of_Segments_in_a_Circle\"><\/span>Forms of Segments in a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of segments in a circle: chords, secants, and tangents.<\/p>\n<p>A chord is a segment that connects two points on a circle.<\/p>\n<p>A secant is a segment that intersects a circle at two points.<\/p>\n<p>A tangent is a segment that touches a circle at one point.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Formula_of_Area_of_Segment_of_a_Circle\"><\/span>The Formula of Area of Segment of a Circle:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of a segment of a circle is the area of the circle minus the area of the two triangles that are created by the segment. The two triangles are similar, so the area of each triangle can be found using the Pythagorean theorem.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Theorems_on_Segment_of_a_Circle\"><\/span>Theorems on Segment of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Theorem 1:<\/p>\n<p>The length of a segment of a circle is proportional to the radius of the circle.<\/p>\n<p>Proof:<\/p>\n<p>Let ABC be a segment of a circle with radius r. We will show that the length of ABC is proportional to r.<\/p>\n<p>We will use the following equation to prove our theorem:<\/p>\n<p>AB = r\u221a(AC\u00b2 + BC\u00b2)<\/p>\n<p>Since AB is proportional to r, we can rewrite the equation as:<\/p>\n<p>AB = kr<\/p>\n<p>Where k is a constant.<\/p>\n<p>Now, let&#8217;s substitute in for AC and BC:<\/p>\n<p>AC = r\u221a(A\u00b2 + B\u00b2)<\/p>\n<p>BC = r\u221a(C\u00b2 + D\u00b2)<\/p>\n<p>Since AC and BC are proportional to r, we can rewrite the equations as:<\/p>\n<p>A\u00b2 = kr\u00b2<\/p>\n<p>B\u00b2 = kr\u00b2<\/p>\n<p>C\u00b2 = kr\u00b2<\/p>\n<p>D\u00b2 = kr\u00b2<\/p>\n<p>Since the left-hand side of each equation is equal, we can conclude that k = 1. Therefore, AB is proportional to r.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Questions_to_Solve\"><\/span>Questions to Solve:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. What is the value of x?<\/p>\n<p>The value of x is 2.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Angle_30_%C2%B0\"><\/span>Angle = 30 \u00b0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Distance = 9.5<\/p>\n<p>The angle between the two lines is 30 degrees. The distance between the two lines is 9.5.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Terms_and_Facts_You_need_to_know\"><\/span>Terms and Facts, You need to know!<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Biodiversity refers to the variety of life on Earth, including the different plants, animals, and microorganisms that make up the planet\u2019s ecosystems.<\/p>\n<p>2. Biodiversity is essential to the health of the planet.<\/p>\n<p>3. The loss of biodiversity can have serious consequences for human populations and the environment.<\/p>\n<p>4. Habitat loss and degradation are the primary threats to biodiversity.<\/p>\n<p>5. Habitat loss can be caused by many different factors, including deforestation, development, and climate change.<\/p>\n<p>6. Species extinction is also a major threat to biodiversity.<\/p>\n<p>7. Many different organizations and groups are working to protect biodiversity.<\/p>\n<p>8. There are many ways to help protect biodiversity, including conserving natural habitats, reducing your carbon footprint, and supporting organizations that work to protect the environment.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>About the Segment of Circle The segment of the circle is the portion of the circle that is between two [&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":"Area Segment Circle","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn Area Segment Circle topic of Area Segment Circle Maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/area-segment-circle\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area Segment Circle - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn Area Segment Circle topic of Area Segment Circle Maths in details explained by subject experts on infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-segment-circle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area Segment Circle - 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