Question

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

What is the area of the sector?

Answer 1

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

Explanation:

We have,

Radius of circle is 15 cm

Central angle is
`(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=(1)/(2)r^2\theta`

Plugging all the values in above formula as :

`A=(1)/(2)* 15^2* (8\pi)/(5)\\A=180\pi \ cm^2`

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