Question

Find the area of the segment of a circle of radius $14cm$, if the length of the corresponding $arcAPB$ is $22cm$

Answer 1

Given APB arc length $=22cm$

radius $=PB=14cm$

Perimeter of circle $=2\pi r$

$=2\times \frac{22}{7}\times 14$

$=88cm$

Area of segment $=\frac{Arclength}{Perimeterofcircle}\times Areaofcircle$

$=\frac{22}{88}\times \pi (14{)}^2$

$=154c{m}^2$