Question

Answer asap no wrong answer ~-~

Answer 1

The correct option is (b).

Explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector,
`A=56\pi \ cm^2`

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

`A=(1)/(2) r^2\theta`

Where

`\theta` is the central angle

Substitute all the values,

`\theta=(2A)/(r^2)\\\\\theta=(2* 56\pi )/(8^2)\\\\\theta=(7\pi)/(4)\ rad`

So, the correct option is (b).