Answer asap no wrong answer ~-~

Question

asked Jul 23, 2022 43.9k views

1 Answer

Mike Pirnat · Answer 1 · 2022-07-28T06:37:17+0000

Answer:

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).