{"id":4645,"date":"2022-01-26T15:54:20","date_gmt":"2022-01-26T15:54:20","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4645"},"modified":"2022-02-28T17:03:38","modified_gmt":"2022-02-28T17:03:38","slug":"circumference-of-a-circle","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/circumference-of-a-circle\/","title":{"rendered":"Circumference of a circle"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Circumference of a circle<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A Circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.<br \/>\nThe circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant \u03c0 and the diameter of the circle. A person walking across a circular park, or a circular table to be bordered requires this metric of the circumference of a circle. The circumference is a linear value and its units are the same as the units of length.<\/p>\n<p>The <strong>radius<\/strong> is the distance from the center outwards.<br \/>\nThe <strong>diameter<\/strong> goes straight across the circle, through the center.<br \/>\nThe <strong>circumference<\/strong> is the distance once around the circle.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/circles-diameter-radius-circumference\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" style=\"margin-top: 11px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637819757530.svg\" alt=\"\" width=\"258\" height=\"217\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Radius is half of the diameter. To find the radius divide the diameter by 2.<br \/>\n<strong>Radius = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{diameter}{2}\" alt=\"\\fn_phv \\frac{diameter}{2}\" align=\"absmiddle\" \/> or r = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{d}{2}\" alt=\"\\fn_phv \\frac{d}{2}\" align=\"absmiddle\" \/><\/strong><\/p>\n<p>The diameter is twice the radius. To find the diameter, multiply the radius by 2.<br \/>\n<strong>Diameter = 2 \u00d7 Radius or d = 2r<\/strong><\/p>\n<p>To find the circumference, multiply the value of pi (\u03c0) with the diameter or multiply the value of pi (\u03c0) with the double of the radius.<br \/>\n<strong>Circumference = \u03c0 \u00d7 Diameter or C = \u03c0d<\/strong><br \/>\n<strong>Circumference = 2 x \u03c0 \u00d7 Radius or C = 2\u03c0r<\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>What is the circumference of the circle below?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><img loading=\"lazy\" class=\"alignnone wp-image-5777 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-32.png\" alt=\"\" width=\"255\" height=\"246\" \/><\/a><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]To find the circumference, multiply the value of pi (\u03c0) with the diameter.<\/p>\n<p><strong>Circumference = \u03c0 \u00d7 Diameter or C = \u03c0d<\/strong><\/p>\n<p><strong>Circumference<\/strong> = \u03c0 \u00d7 14 mm<\/p>\n<p><strong>Circumference<\/strong> = <strong><span style=\"color: red;\">43.98 mm<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Circumference of a circle[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>What is the circumference of the circle below? Use <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{22}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{22}{7}}\" align=\"absmiddle\" \/> as pi.<\/strong><\/span><br \/>\nGive your answer as a mixed number or a decimal rounded to the nearest tenth.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><img loading=\"lazy\" class=\"alignnone wp-image-4651 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/10-3.png\" alt=\"Circumference of a circle Problem 1\" width=\"190\" height=\"260\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>What is the circumference of the circle below? Use <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{22}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{22}{7}}\" align=\"absmiddle\" \/> as pi.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><img loading=\"lazy\" class=\"alignnone wp-image-4653 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-2.png\" alt=\"Circumference of a circle Problem 2\" width=\"230\" height=\"359\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-2.png 230w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-2-192x300.png 192w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Emma has made a circular cake and will decorate the top edge with a yellow ribbon. How many meters of ribbon does she need to put around the cake if the diameter of the cake is 0.6 m. Use 3.142 or <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{22}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{22}{7}}\" align=\"absmiddle\" \/>\u00a0 for \u03c0.<\/strong><\/span><br \/>\nRound the answer to the nearest tenth.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><img loading=\"lazy\" class=\"alignnone wp-image-4655 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/12-2.png\" alt=\"Circumference of a circle Problem 3\" width=\"143\" height=\"44\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]The <strong>circumference<\/strong> of a circle is the perimeter of the circle. It is the total length of the boundary of the circle.<\/p>\n<p><strong>Circle<\/strong> \u2013 the set of all points in a plane that are the same distance from one fixed point.<\/p>\n<p><strong>Center<\/strong> \u2013 one point in the middle of a circle that is the same distance from all of the points on the circle.<\/p>\n<p><strong>Diameter<\/strong> \u2013 the distance across a circle that passes through the center.<\/p>\n<p><strong>Radius<\/strong> \u2013 the distance from the center to any point on the circle.<\/p>\n<p><strong>Pi (\u03c0)<\/strong> \u2013 the constant that results from dividing the circumference of a circle by its diameter. The value is approximated as 3.142 or <img style=\"margin-top: 3px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{22}{7}\" alt=\"\\fn_phv \\frac{22}{7}\" align=\"absmiddle\" \/>.<br \/>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635833310218{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-perimeter\"><span style=\"color: #ed5600;\">Measurement – Perimeter<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/circles-diameter-radius-circumference\"><span style=\"color: #ed5600;\">Circles: Diameter, Radius, Circumference<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635833371091{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-parallelogram\">Area of a parallelogram<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-triangle\">Area of a triangle<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/area-of-composite-figures\">Area of Composite Figures<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\">Surface Area of Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids\">Surface Area of Pyramids<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-composite-figures\">Surface Area of Composite Figures<\/a><\/span>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” 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link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Graphs” color=”warning” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fgraphs|title:Graphs||”][vc_btn title=”Geometry and Spatial sense” color=”danger” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fgeometry-and-spatial-sense|title:Geometry%20and%20Spatial%20sense||”][vc_btn title=”Measurement” color=”violet” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fmeasurement|title:Measurement||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Circumference of a circle [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A Circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center. The circumference of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Circumference of a circle | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A Circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center....\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/circumference-of-a-circle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Circumference of a circle\" \/>\n<meta property=\"og:description\" content=\"A 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