Question

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.

Answer 1

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`