The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle △ACB.Where:
|C||is the central angle in DEGREES|
|R||is the radius of the circle of which the segment is a part.|
|π||is Pi, approximately 3.142|
|sin||is the trigonometry Sine function.|
If you know the segment height and radius of the circle you can also find the segment area. See Area of a Circular Segment given the Segment Height.
Use the calculator below to calculate the segment area given the radius and segment's central angle, using the formula described above. Remember: In this version, the central angle must be in degrees.
|Central angle a (degrees)|