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a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).
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A circle is a locus of a point (in two dimensional space or in a plane) which is equidistant from another point.  

A circle is the curve joining all the points which are at equal distances from a fixed point in a 2 dimensional plane.

The curve is called the circumference and fixed point is called the center and the fixed distance is called the radius.