{"id":4209,"date":"2012-10-12T22:28:11","date_gmt":"2012-10-12T22:28:11","guid":{"rendered":"http:\/\/schooltutoring.com\/scholarship\/?p=4209"},"modified":"2014-12-02T08:31:59","modified_gmt":"2014-12-02T08:31:59","slug":"geometry-basics-introduction-to-circles","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/10\/12\/geometry-basics-introduction-to-circles\/","title":{"rendered":"Geometry Basics: Introduction to Circles"},"content":{"rendered":"

A circle is a curve joining a set of points which are at same distance from a fixed point. \u00a0Here, the fixed point is called the center<\/em><\/strong> of the circle and the fixed distance is called the radius<\/em><\/strong> of the circle.<\/p>\n

Here is the terminology regarding a circle.<\/p>\n

\"\"<\/a><\/p>\n

Here O<\/em><\/strong> is the center of the circle. r<\/em><\/strong> is the radius of the circle.<\/p>\n

Here, we can notice that, AO = OB = r.<\/p>\n

Chord of the circle:<\/h5>\n

A chord is a line which joins any two points on the circle.<\/p>\n

In the above figure, ED<\/em><\/strong> is a chord.<\/p>\n

Diameter of the circle:<\/h5>\n

The diameter is the largest chord of the circle. The diameter always passes through the center of the circle and its length is twice the length of the radius.<\/p>\n

In the above figure, AB<\/em><\/strong> is a diameter of the circle and AB = 2r.<\/p>\n

Tangent of a circle:<\/h5>\n

A tangent of a circle is a line which touches the circle at only one point. i.e A chord can become a tangent if its starting and ending points become same.<\/p>\n

In the above figure, FG is a tangent which passes through the point B , which lies on the circle.<\/p>\n

Arc of a circle:<\/h5>\n

The arc of a circle is the part of the circle which lies between any two points on the circle.<\/p>\n

In the above figure BC is an arc of the circle.<\/p>\n

Sector of a circle:<\/h5>\n

The sector of a circle is the part of area of the circle lying between the arc and the radii.<\/p>\n

In the above figure OCB is a sector.<\/p>\n

Central angle of a circle:<\/h5>\n

It is the angle formed by any two radii of the circle.<\/p>\n

In the above figure, \u2220COB is a central angle.<\/p>\n

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A circle is a curve joining a set of points which are at same distance from a fixed point. \u00a0Here, the fixed point is called the center of the circle and the fixed distance is called the radius of the circle. Here is the terminology regarding a circle. Here O is the center of the […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[120,250,252,278,285,493,1478,1602,1806],"class_list":["post-4209","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-arc","tag-center","tag-central-angle","tag-chord","tag-circle","tag-diameter","tag-radius","tag-sector","tag-tangent"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/4209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=4209"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/4209\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=4209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=4209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=4209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}