Question

A ring-shaped region is shown below. Its inner radius is 15 yd. The width of the ring is 3 yd. Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Answer 1

612.3 in.²

Explanation:

Inner circle diameter = 34 in.

Inner circle radius = r = 17 in.

Outer circle diameter = 34 in. + 5 in. + 5 in. = 44 in.

Outer circle radius = R = 22 in.

The are of the ring is the area of the outer circle minus the area of the inner circle.

A = πR² - πr²

A = π(R² - r²)

A = 3.14[(22 in.)² - (17 in.)²]

A = 612.3 in.²