What is the area of a sector with a central angle of 5π6 radians and a radius of 5.6 ft? Use 3.14 for π and round your final answer to the nearest hundredth.

Question

asked Mar 2, 2020 118k views

1 Answer

Kiyoto Tamura · Answer 1 · 2020-03-07T06:43:31+0000

Answer:

41.03 square feet

Explanation:

The area of a sector is given by the formula:

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

Where A is the area, r is the radius and
$\theta$ is the angle in radians.

Given the values, we plug into the formula and solve:

$A=(1)/(2)r^2\theta\\A=(1)/(2)(5.6)^2((5\pi)/(6))\\A=41.03$