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Basic data regarding circles

A circle is all purposes within the same plane that lies at AN equal distance from a middle point. The circle is just composed of the points on the border. you may think about a circle as a Hawaiian dancing hoop. It’s solely the points on the border that area unit the circle. The points at intervals of the Hawaiian dancing hoop don’t seem to be a part of the circle and area unit referred to as interior points.

The distance between the point and also the circle border is named the radius. A line phase that has the endpoints on the circle and passes through the point is named the diameter. The diameter is doubly the scale of the radius. A line phase that has its endpoints on the circular border but doesn’t have the point is named a chord.

The distance around the circle is named the circumference, C, and will be determined either by the victimization of the radius, r, or the diameter, d:

C=2πr
C=πd

A circle is the same as 360°. you’ll be able to divide a circle into smaller parts. a neighborhood of a circle is named AN arc ANd an arc is known as in line with its angle. Arcs area unit divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°).

The length of AN arc, l, is decided by plugging the degree live of the Arc, v, and also the circumference of the total circle, C, into the subsequent formula:

l=C⋅v360

When diameters encounter at the center of the circle they kind central angles. Like once you cut a cake you start your items within the middle.

 

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