Question

In the following figure, the radius of the circle is $7$ cm and $m\left(arcRYS\right)={30}^{\circ }$, find find:
$A\left(PRXS\right)$

Answer 1

In the given figure,
Radius of the circle with centre $P$ is $r=7$ cm
Given, $M\left(arcRYS\right)={30}^{\circ }$
Area of major sector $\left(PRXS\right)=$ Area of circle $-$ Area of sector $\left(PRYS\right)$

$=\pi r^2-\frac{30}{360}\pi r^2$

$=\frac{330}{360}\pi r^2$

$=\frac{330}{360}\times \frac{22}{7}\times 7\times 7$
$=141.17c{m}^2$