Circular Segments

Circular Segment

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

Area of a Circular Segment

Area of a Circular Segment

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

Examples

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.

Circular Segment

Circular Segment Exercise

Circular Segment Operations

Circular Segment Operations

Circular Segment Solution


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.

Circular Segment Problem

The shaded portion consists of two circular segments.

Circular Segment ProblemCircular Segment Problem


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

Circular Segment Exercise

Circular Segment Operations

Circular Segment Operations

Circular Segment Solution