{"id":224497,"date":"2025-08-12T20:16:22","date_gmt":"2025-08-12T14:46:22","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=224497"},"modified":"2025-08-12T20:16:23","modified_gmt":"2025-08-12T14:46:23","slug":"circle-questions","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/circle-questions\/","title":{"rendered":"Circle Formulas, Concepts, Strategies, Short Tricks, and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 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\" style=\"cursor:inherit\">Table of content<\/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:\/\/www.oliveboard.in\/blog\/circle-questions\/#What_Is_Circle_in_Quantitative_Aptitude\" >What Is Circle in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Why_Is_Circle_Important_in_Competitive_Exams\" >Why Is Circle Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Circle_Quantitative_Aptitude_Short_Notes\" >Circle Quantitative Aptitude Short Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Quick_Circle_Revision_Summary\" >Quick Circle Revision Summary<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#What_Are_the_Types_of_Circle_Questions_in_Quantitative_Aptitude\" >What Are the Types of Circle Questions in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Circle_Formulas_for_Quantitative_Aptitude\" >Circle Formulas for Quantitative Aptitude<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Circle_Tricks_for_SSC_CGL_and_Other_Exams\" >Circle Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Solved_Circle_Questions_from_2024%E2%80%9325_Exams\" >Solved Circle Questions from 2024\u201325 Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#Common_Mistakes_to_Avoid_while_Solving_Circle_Questions\" >Common Mistakes to Avoid while Solving Circle Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Circle is one of the most important and frequently tested topics in geometry for competitive exams. In this blog, we have provided all the essential concepts, formulas, tricks, solved questions, and more.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Is_Circle_in_Quantitative_Aptitude\"><\/span>What Is Circle in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>A <strong>circle<\/strong> is a set of all points in a plane that are equidistant from a fixed point called the center. The constant distance is called the radius.<\/p>\n\n\n\n<p><strong>Why it appears in exams:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Fundamental geometric shape with numerous properties.<\/li><li>Problems involve radius, diameter, chords, arcs, sectors, segments, and tangents.<\/li><\/ul>\n\n\n\n<p><strong>Skills required:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Understanding geometric properties and relations.<\/li><li>Applying formulas related to circumference, area, arc length, and sector area.<\/li><li>Visualization of 2D figures.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Why_Is_Circle_Important_in_Competitive_Exams\"><\/span>Why Is Circle Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Circle problems test candidates\u2019 understanding of basic geometric concepts and their ability to apply formulas for perimeter, area, arcs, and sectors, making it a valuable scoring topic.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td>SSC CGL \/ CHSL<\/td><td>1\u20133<\/td><td>Moderate<\/td><\/tr><tr><td>IBPS PO \/ SBI PO<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><tr><td>RRB NTPC \/ Group D<\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circle_Quantitative_Aptitude_Short_Notes\"><\/span>Circle Quantitative Aptitude Short Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Terms mostly used to solve questions based on circles are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Radius (r)<\/td><td>Distance from center to any point on the circle<\/td><\/tr><tr><td>Diameter (d)<\/td><td>Twice the radius, longest chord in the circle<\/td><\/tr><tr><td>Circumference<\/td><td>Perimeter of the circle, calculated as 2\u03c0r2 \\pi r2\u03c0r<\/td><\/tr><tr><td>Area<\/td><td>Area covered by the circle, calculated as \u03c0r2\\pi r^2\u03c0r2<\/td><\/tr><tr><td>Chord<\/td><td>A line segment connecting two points on the circle<\/td><\/tr><tr><td>Arc<\/td><td>A part of the circumference<\/td><\/tr><tr><td>Sector<\/td><td>The area enclosed by two radii and an arc<\/td><\/tr><tr><td>Segment<\/td><td>The area enclosed by a chord and its corresponding arc<\/td><\/tr><tr><td>Tangent<\/td><td>A line that touches the circle at exactly one point<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Quick_Circle_Revision_Summary\"><\/span>Quick Circle Revision Summary <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here\u2019s a handy summary of the most important formulas and facts about circles to aid quick memorization.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"706\" height=\"380\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-33.png\" alt=\"\" class=\"wp-image-224499\"\/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Circle_Questions_in_Quantitative_Aptitude\"><\/span>What Are the Types of Circle Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Circle problems can comes in various forms; knowing these types helps in quick recognition and solving.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Basic perimeter and area problems<\/li><li>Chord and segment length\/area problems<\/li><li>Sector and arc length questions<\/li><li>Tangents and properties of tangents<\/li><li>Coordinate geometry related problems<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circle_Formulas_for_Quantitative_Aptitude\"><\/span>Circle Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>This section provides the essential formulas that help you solve circle-related problems accurately and quickly.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"559\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-34.png\" alt=\"\" class=\"wp-image-224500\"\/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circle_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Circle Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Follow these tricks to solve circle problems efficiently in competitive exams:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Remember \u03c0\u224822\/7\u200b or 3.14 for quick calculations.<\/li><li>Use symmetry properties of circle to simplify problems.<\/li><li>Visualize sectors and segments to avoid confusion between areas.<\/li><li>In tangent problems, remember tangent is perpendicular to radius at point of contact.<\/li><li>Practice applying formulas for arcs and sectors carefully by focusing on the angle subtended.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solved_Circle_Questions_from_2024%E2%80%9325_Exams\"><\/span>Solved Circle Questions from 2024\u201325 Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"740\" height=\"637\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-35.png\" alt=\"\" class=\"wp-image-224501\"\/><\/figure><\/div>\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Circle_Questions\"><\/span>Common Mistakes to Avoid while Solving Circle Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Common mistakes that students must avoid while solving questions based on the topic of circles are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Using wrong value of \u03c0\\pi\u03c0 inconsistently.<\/li><li>Confusing chord length with arc length.<\/li><li>Forgetting to convert degrees in arc\/sector formulas.<\/li><li>Mixing up sector and segment areas.<\/li><li>Not applying tangent-radius perpendicularity in tangent problems.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1755009756672\"><strong class=\"schema-faq-question\">Q1. What is the difference between arc and chord?<\/strong> <p class=\"schema-faq-answer\">Arc is part of circumference, chord is a straight line between two points on circle.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755009758061\"><strong class=\"schema-faq-question\">Q2. What is a segment of a circle?<\/strong> <p class=\"schema-faq-answer\">Area enclosed by a chord and the corresponding arc.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755009758703\"><strong class=\"schema-faq-question\">Q3. How is tangent related to radius?<\/strong> <p class=\"schema-faq-answer\">Tangent is perpendicular to radius at point of contact.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755009760187\"><strong class=\"schema-faq-question\">Q4. Can the angle subtended by an arc be greater than 360\u00b0?<\/strong> <p class=\"schema-faq-answer\">No, maximum is 360\u00b0.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755009760757\"><strong class=\"schema-faq-question\">Q5. What is the relation between radius and chord?<\/strong> <p class=\"schema-faq-answer\">Radius bisects the chord if perpendicular.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-gd-preparation-strategy\/\">SSC GD Preparation Strategy 2026-27, Last Minute Tips, Tricks<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jht-preparation\/\">SSC JHT Study Plan 2026, Tips &amp; Recommended Books<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/current-affairs-for-sbi-po-mains\/\">SBI PO Mains Current Affairs Questions 2021\u20132025 Analysis<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-stenographer-15-days-study-plan\/\">SSC Stenographer 15 Days Study Plan, Check the Day-wise Plan<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-study-plan\/\">SSC CHSL Study Plan for Tier 1 Exam, Crack Exam in 60 Days<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-exam-day-guidelines\/\">SSC Exam Day Guidelines for different Exams, General Instructions<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Circle is one of the most important and frequently tested topics in geometry for competitive exams. In this blog, we<\/p>\n","protected":false},"author":58,"featured_media":224498,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,10231],"tags":[],"class_list":["post-224497","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Circle Formulas, Concepts, Strategies, Short Tricks, and Tips<\/title>\n<meta name=\"description\" content=\"Check out detailed formulas related to the topic of circle, along with the types of questions asked, short tricks, and tips to solve them.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/circle-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Circle Formulas, Concepts, Strategies, Short Tricks, and Tips\" \/>\n<meta property=\"og:description\" content=\"Circle is one of the most important and frequently tested topics in geometry for competitive exams. 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