Question

What is the area of a sector with a central angle of 8π11 radians and a radius of 7.2 ft?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer 1

Explanation:

Answer 2

First, determine the area of the circle by using the equation,
A = πr²
Substituting,
A = π(7.2 ft)²
A = 162.78 ft²
Then, we multiply this calculated value with the ratio of the given angle to the angle of whole revolution which is equal to 2π in order to solve for the area of the sector.
area of sector = (162.78 ft²)((8π/11 / 2π) = 59.19 ft²
Thus, the area of the sector is approximately equal to 59.19 ft².