{"id":331,"date":"2022-04-13T10:42:53","date_gmt":"2022-04-13T10:42:53","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=331"},"modified":"2025-01-10T09:30:18","modified_gmt":"2025-01-10T09:30:18","slug":"r-1-parts-of-a-circle","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/r-1-parts-of-a-circle\/","title":{"rendered":"R.1 Parts of a circle"},"content":{"rendered":"\n

Parts of a circle<\/strong><\/h2>\n\n\n\n

key Notes :<\/strong><\/p>\n\n\n\n

There are many parts of a circle and related circle terms. In this lesson, you will take a closer look at each of the parts and terms shown below.<\/p>\n\n\n\n

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Parts\u00a0of\u00a0a\u00a0circle<\/strong><\/h1>\n\n\n\n

Let’s take a closer look at some basic parts of a circle.<\/p>\n\n\n\n

Circle and center<\/h2>\n\n\n\n

A circle<\/strong> is the set of all points that are the same distance away from a specific point, called the center<\/strong>.<\/p>\n\n\n

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\"A<\/figure><\/div>\n\n\n

Radius<\/strong><\/h2>\n\n\n\n

A radius<\/strong> of a circle is a line segment with one endpoint at the center of the circle and the other endpoint on the circle. The plural form of radius is radii<\/strong>.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Diameter<\/strong><\/h2>\n\n\n\n

A diameter<\/strong> of a circle is a line segment that has endpoints on the circle and passes through the center. A circle’s diameter is twice the length of the circle’s radius.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Chord<\/strong><\/h2>\n\n\n\n

A chord<\/strong> of a circle is a line segment with endpoints on the circle.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Identifying\u00a0parts\u00a0of\u00a0a\u00a0circle<\/strong><\/h2>\n\n\n\n

Let’s try it! Give an example of each of the following parts of \u2a00P.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Name a radius.<\/strong><\/p>\n\n\n\n

PL is a radius because point P is the center of the circle and point L is on the circle. PM and PN are also radii.<\/p>\n\n\n\n

Name a chord.<\/strong><\/p>\n\n\n\n

QR is a chord because points Q and R both lie on the circle. MN is also a chord.<\/p>\n\n\n\n

Name a diameter.<\/strong><\/p>\n\n\n\n

MN is a diameter because points M and N both lie on the circle and MN passes through the center point.<\/p>\n\n\n\n

Other circle vocabulary<\/h1>\n\n\n\n

You can use the parts of a circle from above to define other terms related to circles.<\/p>\n\n\n\n

Central angle<\/h2>\n\n\n\n

A central angle<\/strong> of a circle is an angle whose vertex is the center of the circle and whose sides are radii of the circle.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Arc<\/strong><\/h2>\n\n\n\n

An arc<\/strong> of a circle is the part of the circle that lies between two points on the circle.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Arcs can be classified as minor arcs, major arcs, or semicircles:<\/p>\n\n\n\n

Minor arcs are named by their two endpoints. Major arcs and semicircles are named by their two endpoints and an additional point on the arc.<\/p>\n\n\n\n

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Inscribed angle and intercepted arc<\/h2>\n\n\n\n

An inscribed angle is an angle whose vertex is on a circle and whose sides are chords of the circle. The arc that lies between the two sides of an inscribed angle is called an intercepted arc<\/strong>.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Tangent and point of tangency<\/h2>\n\n\n\n

A tangent to a circle is a line that intersects the circle at exactly one point. The point where a tangent intersects a circle is called the point of tangency<\/strong>.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Circumscribed angle<\/h2>\n\n\n\n

A circumscribed angle<\/strong> is an angle whose sides are tangent to a circle.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Secant
A secant of a circle is a line that intersects the circle at two points.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Sector<\/h2>\n\n\n\n

A sector<\/strong> of a circle is a region bounded by an arc of the circle and the two radii that intersect the arc’s endpoints.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Segment<\/h2>\n\n\n\n

A segment<\/strong> of a circle is the region bounded by an arc of the circle and the chord that intersects the arc’s endpoints.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Identifying parts related to a circle<\/h2>\n\n\n\n

Let’s try it! Give an example of each of the following parts of the diagram below.<\/p>\n\n\n

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\"Circle<\/figure><\/div>\n\n\n

Name a tangent line.<\/strong><\/p>\n\n\n\n

NP is tangent to \u2a00G because it intersects the circle at exactly one point, point H. MN is also tangent to \u2a00G.<\/p>\n\n\n\n

Name a major arc.<\/strong><\/p>\n\n\n\n

KHJ is a major arc of \u2a00G because it goes more than halfway around the circle. JKH and LHK are also major arcs.<\/p>\n\n\n\n

Name a central angle.<\/strong><\/p>\n\n\n\n

\u2220HGJ is a central angle of \u2a00G because its vertex is the center of the circle and its sides are radii of the circle.<\/p>\n\n\n\n

Name a secant line.<\/strong><\/p>\n\n\n\n

MP is a secant of \u2a00G because it intersects the circle at two points, points J and K.<\/p>\n\n\n\n

Name an inscribed angle.<\/strong><\/p>\n\n\n\n

\u2220HKJ is an inscribed angle of \u2a00G because its vertex lies on the circle and its sides are chords of the circle.<\/p>\n\n\n\n

Name a circumscribed angle<\/strong>.<\/p>\n\n\n\n

\u2220MNP is a circumscribed angle of \u2a00G because its sides are both tangent to the circle.<\/p>\n\n\n\n

Name a minor arc.<\/strong><\/p>\n\n\n\n

HJ is a minor arc because it goes less than halfway around the circle. JK and HL are also minor arcs.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Which figure shows an arc?<\/strong><\/p>\n\n\n\n

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\"\"<\/figure>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

This diagram correctly shows an arc<\/strong>:<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

This diagram shows a sector<\/strong>, not an arc:<\/p>\n\n\n

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This diagram shows a diameter<\/strong>, not an arc:<\/p>\n\n\n

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This diagram shows the centre<\/strong>, not an arc:<\/p>\n\n\n

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\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n
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Which figure shows a chord?<\/strong><\/p>\n\n\n\n

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\"\"<\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

This diagram correctly shows a chord<\/strong>:<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

This diagram shows an arc<\/strong>, not a chord:<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

This diagram shows the centre<\/strong>, not a chord:<\/p>\n\n\n

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This diagram shows a <\/span>sector<\/span>, not a chord:<\/span><\/p>\n\n\n

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\"\"<\/figure><\/div><\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Parts of a circle key Notes : There are many parts of a circle and related circle terms. In this lesson, you will take a closer look at each of the parts and terms shown below. Parts\u00a0of\u00a0a\u00a0circle Let’s take a closer look at some basic parts of a circle. Circle and center A circle is the set of all points that are theContinue reading “R.1 Parts of a circle”<\/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-331","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=331"}],"version-history":[{"count":19,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331\/revisions"}],"predecessor-version":[{"id":17385,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331\/revisions\/17385"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}