The sector of a circle with a 12 inches radius has a central angle measure of 60°. What is the exact area of the sector in terms of π ?

Question

asked Dec 12, 2018 56.7k views

2 Answers

Manhar Sapra · Answer 1 · 2018-12-17T22:44:37+0000

Answer:

The exact area of the sector in terms of π is:

24π in²

Explanation:

The area of a sector of a circle is given by:

$\pi r^2* (\theta)/(2\pi)$

where r is the radius of the circle and
$\theta$ is the central angle of the sector

Here r=12 in.

and
$\theta$ =60°

Area of sector=

$\pi 12^2* (60)/(2* 180)$

$\pi 12^2* (1)/(6)$

$24 \pi in^2$