June 26, 2019

A circular segment is the area of circle enclosed by a chord and the corresponding arc.

### Area of a Circular Segment

The area of circular segment AB = area of the circular sector AOB - area of triangle AOB

A central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the area of the circular segment enclosed by the chord joining the ends of the two radii and its corresponding arc.

Find the area of the shaded portion of the square ABCD if AB = 10 cm, and APC, AQC are center circle arcs from their centre points B and D respectively.

The shaded portion consists of two circular segments.

Calculate the area of both circular segments if the circular area of the segment = area of the circular sector − area of the triangle.