Question

If A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the missing quantity. Ifnecessary, round the answer to two decimal places.6) r = 8 inches, 0 = 5 radians, A = ?F) 40 in2G) 160 in2H) 20 in2J) 320 in2

Answer 1

In order to find the area A of the sector of the given circle, use the following formula:

A = 1/2·r²θ

where θ is in radians.

In this case, you have r = 8 in and θ = 5 radians. Replace these values into the formula for A:

A = 1/2·(8 in)²(5 rad)

A = 160 in²

Hence, the area of the sector is 160 in²