Question

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

Answer 1

In the figure,
Radius of the circle with centre $P$ is $r=7$ cm
Given, $M\left(arcRYS\right)={30}^{\circ }$
Area of sector $(P-RYS)=\frac{\theta }{{360}^{\circ }}\times \pi r^2$
$=\frac{{30}^o}{{360}^{\circ }}\times 154$

$=\frac{77}{6}$

$=12.83c{m}^2$