Question

Write the formula for the area of a segment in a circle of radius r given that the sector angle is $\theta$ (in degrees).

Answer 1

In this figure, centre of the circle is O, radius OA = r and

We are going to find the area of the segment AXB.

…… (1)

We know that

We also know that

Substituting these values in equation (1) we get,

Therefore, area of the segment is.