Area of a Segment

Segment of a circle
Region enclosed by a chord and the corresponding arc.

Minor segment
A smaller region formed by the chord.

Major segment
The remaining larger region of the circle.

Area of minor segment = Area of sector − Area of triangle

\[A(\text{minor segment})=\frac{\theta}{360}\pi r^2-\frac{1}{2}r^2\sin\theta\]

$Area\; of\; major\; segment=Area\; of\; circle-Area\; of\; minor\; segment$

That is,

A(major segment) = πr² − A(minor segment)