{"id":194,"date":"2022-04-13T08:41:01","date_gmt":"2022-04-13T08:41:01","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=194"},"modified":"2025-12-04T12:07:18","modified_gmt":"2025-12-04T12:07:18","slug":"l-1-parts-of-a-circle","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/l-1-parts-of-a-circle\/","title":{"rendered":"L.1 Parts of a circle"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Parts of a circle<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ef14ce74ff94903f2765ce987709c94d\" style=\"color:#74008b\">key Notes :<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Circle<\/strong><\/h2>\n\n\n\n<p>A circle is a closed curve where <strong>all points are the same distance<\/strong> from a fixed point.<br>\ud83d\udc49 The fixed point is called the <strong>center<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Center (O)<\/strong> \ud83c\udfaf<\/h2>\n\n\n\n<p>The <strong>middle point<\/strong> of the circle.<br>Every point on the circle is <strong>equally distant<\/strong> from the center.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Radius (r)<\/strong> \ud83d\udccf<\/h2>\n\n\n\n<p>A line segment from the <strong>center to any point<\/strong> on the circle.<br>All radii in a circle are <strong>equal<\/strong>.<br>Example: OA, OB<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Diameter (d)<\/strong> \ud83d\udcd0<\/h2>\n\n\n\n<p>A line segment that <strong>passes through the center<\/strong> and touches <strong>both ends of the circle<\/strong>.<br>\ud83d\udc49 Diameter = <strong>2 \u00d7 Radius<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Chord<\/strong> \u2796<\/h2>\n\n\n\n<p>A line segment joining <strong>any two points<\/strong> on the circle.<br>\ud83d\udc49 Every diameter is a chord, but <strong>every chord is not a diameter<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Arc<\/strong> \ud83c\udf00<\/h2>\n\n\n\n<p>A <strong>curved part<\/strong> of the circle.<br>Types of arcs:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Minor Arc<\/strong> \u2013 smaller arc<\/li>\n\n\n\n<li><strong>Major Arc<\/strong> \u2013 larger arc<\/li>\n\n\n\n<li><strong>Semi-circle<\/strong> \u2013 arc of 180\u00b0<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Sector<\/strong> \ud83c\udf55<\/h2>\n\n\n\n<p>A region enclosed by <strong>two radii<\/strong> and the <strong>arc<\/strong> between them.<br>Looks like a <strong>pizza slice<\/strong>! \ud83c\udf55<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Segment<\/strong> \ud83d\udfe7<\/h2>\n\n\n\n<p>A region formed by a <strong>chord<\/strong> and its <strong>arc<\/strong>.<br>Types:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Minor segment<\/strong><\/li>\n\n\n\n<li><strong>Major segment<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Circumference<\/strong> \ud83d\udd04<\/h2>\n\n\n\n<p>The <strong>boundary (perimeter)<\/strong> of the circle.<br>Formula:<br>\ud83d\udc49 <strong>C = 2\u03c0r<\/strong> or <strong>\u03c0d<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Tangent<\/strong> \ud83d\udcce<\/h2>\n\n\n\n<p>A line that <strong>touches the circle at exactly one point<\/strong> (point of contact).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Secant<\/strong> \ud83d\udcd8<\/h2>\n\n\n\n<p>A line that <strong>cuts the circle at two points<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd14 Summary Chart \ud83c\udf1f<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Part<\/th><th>Meaning<\/th><\/tr><\/thead><tbody><tr><td>Center<\/td><td>Middle point<\/td><\/tr><tr><td>Radius<\/td><td>R = center \u2192 circle<\/td><\/tr><tr><td>Diameter<\/td><td>D = 2r<\/td><\/tr><tr><td>Chord<\/td><td>Joins two points<\/td><\/tr><tr><td>Arc<\/td><td>Curved part<\/td><\/tr><tr><td>Sector<\/td><td>Pizza slice area<\/td><\/tr><tr><td>Segment<\/td><td>Region under a chord<\/td><\/tr><tr><td>Tangent<\/td><td>Touches once<\/td><\/tr><tr><td>Secant<\/td><td>Cuts twice<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#eeb2b2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-7e182c23e513ceabfeb1aa3abe52eb03\" style=\"color:#b00012\"><strong>Which figure shows an arc?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-50-1.png\" alt=\"\" class=\"wp-image-11651\" style=\"width:239px;height:auto\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-51-2.png\" alt=\"\" class=\"wp-image-11652\" style=\"width:250px;height:auto\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-52.png\" alt=\"\" class=\"wp-image-11654\" style=\"width:247px;height:auto\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-53.png\" alt=\"\" class=\"wp-image-11655\" style=\"width:252px;height:auto\"\/><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>This diagram correctly shows an&nbsp;<strong>arc<\/strong>:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104120.633.png\" alt=\"\" class=\"wp-image-11661\" style=\"width:304px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This diagram shows a&nbsp;<strong>sector<\/strong>, not an arc:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104144.194.png\" alt=\"\" class=\"wp-image-11662\" style=\"width:284px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This diagram shows a&nbsp;<strong>diameter<\/strong>, not an arc:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104204.850.png\" alt=\"\" class=\"wp-image-11663\" style=\"width:333px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This diagram shows the&nbsp;<strong>centre<\/strong>, not an arc:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104222.109.png\" alt=\"\" class=\"wp-image-11664\" style=\"width:280px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c9ecc9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-d756bde8222fcf14db7aa8d072536ea3\" style=\"color:#b00012\"><strong>Which figure shows a chord?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-image size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-51-4.png\" alt=\"\" class=\"wp-image-11665\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-53-2.png\" alt=\"\" class=\"wp-image-11666\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-image size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-50-3.png\" alt=\"\" class=\"wp-image-11667\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-54.png\" alt=\"\" class=\"wp-image-11668\"\/><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>This diagram correctly shows a&nbsp;<strong>chord<\/strong>:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__54_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-11669\" style=\"width:276px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This diagram shows an&nbsp;<strong>arc<\/strong>, not a chord:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104120.633-1.png\" alt=\"\" class=\"wp-image-11670\" style=\"width:342px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This diagram shows the&nbsp;<strong>centre<\/strong>, not a chord:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104222.109-1.png\" alt=\"\" class=\"wp-image-11671\" style=\"width:326px;height:auto\"\/><\/figure><\/div>\n\n\n<p><span style=\"color: rgb(0, 0, 0); font-family: &quot;IXL Verdana&quot;, Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;\">This diagram shows a&nbsp;<\/span><span style=\"font-weight: 700; color: rgb(0, 0, 0); font-family: &quot;IXL Verdana&quot;, Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;\">sector<\/span><span style=\"color: rgb(0, 0, 0); font-family: &quot;IXL Verdana&quot;, Verdana, Arial, Helvetica, sans-serif; font-size: 16px; white-space-collapse: collapse;\">, not a chord:<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-2024-01-03T104144.194-1.png\" alt=\"\" class=\"wp-image-11672\" style=\"width:380px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-2bab5176158303f33c627db5e9f86f28\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/88924\/547\/644\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-72.png\" alt=\"\" class=\"wp-image-7904\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-72.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-72-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-72-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/88926\/194\/246\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-81.png\" alt=\"\" class=\"wp-image-7905\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-81.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-81-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-81-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Parts of a circle key Notes : \ud83d\udd39 Circle A circle is a closed curve where all points are the same distance from a fixed point.\ud83d\udc49 The fixed point is called the center. \ud83d\udd38 Center (O) \ud83c\udfaf The middle point of the circle.Every point on the circle is equally distant from the center. \ud83d\udd39 Radius<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/l-1-parts-of-a-circle\/\">Continue reading <span class=\"screen-reader-text\">&#8220;L.1 Parts of a circle&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-194","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=194"}],"version-history":[{"count":17,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions"}],"predecessor-version":[{"id":18280,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions\/18280"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}