Areas Related to Circles — Part 2: Segments and shaded regions: visual lesson, CBSE Class 10 Mathematics (Standard 041 / Basic 241)

Lesson

Areas Related to Circles, Part 2: Segments and shaded regions

Cut a circle with a chord and you get two segments.

In this lesson you will

Minor segment $=$ sector $OAB$ $-$ $\triangle OAB$.

Concept

Diagram

Minor segment $=$ sector $OAB$ $-$ $\triangle OAB$.

The sector $OAB$ is made of $\triangle OAB$ and the minor segment. So

\text{Minor segment} = \text{sector } OAB - \triangle OAB, \qquad \text{Major segment} = \pi r^2 - \text{minor segment}