Question

what is direct formula for finding area of segment

Answer 1

Area of a Circle Segment Given the Central Angle

Definition: The number of square units it takes to fill a segment of a circle

Try this Drag one of the orange dots that define the endpoints of the segment. Note the number of square units it takes to fill it.

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:Cis the central angle in DEGREESRis the radius of the circle of which the segment is a part.πis Pi, approximately 3.142sinis the trigonometry Sine function.