Area of a Segment of a Circle Calculator

Radians and degrees are two units of measurement of angle. The segment of a circle is the region bounded by a chord and the arc subtended by the chord. By subtracting the area of segment and triangle, circle segment area is found. Use this online Area of a Segment of a Circle Calculator to find the circle segment area using radius, degree. This can be done by finding the area of sector and subtracting the area of the triangle formed by the given radian and radius.

Find the Area of a Segment of a Circle using Radius, Degree

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Radians and degrees are two units of measurement of angle. The segment of a circle is the region bounded by a chord and the arc subtended by the chord. By subtracting the area of segment and triangle, circle segment area is found. Use this online Area of a Segment of a Circle Calculator to find the circle segment area using radius, degree. This can be done by finding the area of sector and subtracting the area of the triangle formed by the given radian and radius.

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Formula:

S = r2 / 2 (α π / 180 - sin α) Where, s = Area of a Circle Segment α = Central Angle in Degree r = Radius sin = Sine

Example:

A circle has a radius of 7mm, central angle of 60°. Find Area of a Segment of a Circle.

Solution:

S = r2 / 2 (α π / 180 - sin α)
= 72 / 2 (60 x 3.14 / 180 - sin (60))
= 4.4322 mm.


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