Question

Find the area of the shaded region. Round to nearest hundredth.

Answer 1

210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.

The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.

Then the area of the shaded region is 7/12 of this, or

7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2