Circumference and Area of a Circle

A circle is a plane geometrical figure, every point of which is at a constant distance from a fixed point in the same plane. A line segment with its end-points lying on a circle is called chord of the circle. Diameter is the longest chord in a circle. A line passing through a circle and intersecting the circle at two different points is known as a secant of the circle.

The distance covered by moving once around a circle is called its perimeter or circumference. The circumference of a circle is equal to two times the product of pi and its radius. The measure of a surface, enclosed by the circumference of the circle, is called its area. Area of a circle is equal to the product of pi and square of its radius.

The portion (or part) of a circular region enclosed by two radii and the corresponding arc is called a sector of the circle. The portion (or part) of a circular region enclosed between a chord and the corresponding arc is called a segment of the circle. Area of major sector is the difference of area of circle and area of minor sector. Area of minor sector is the difference of area of circle and area of major sector.

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