Question

A sector with a radius of 15 cm has a central angle measure of 8pie/5

Answer 1

Answer:

The area of the sector is $180\pi \ cm^2$.

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is $\dfrac{8\pi}{5}\ \text{radian}$

It is required to find the area of the sector. The formula used to find the area of sector is given by :

$A=\dfrac{1}{2}r^2\theta$

Plugging all the values in above formula as :

$A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2$

So, the area of the sector is $180\pi \ cm^2$.