Question

A cookie cake has a diameter of 18 in. If part of the cookie cake is eaten, the missing section forms an angle of $270^\circ$. What is the area of the cookie cake that was eaten? Round your answer to the nearest tenth. (1 point)Answer Choices$A = 190.9\text{ in}^2$$A = 254.5\text{ in}^2$$A = 63.6\text{ in}^2$$A = 127.2\text{ in}^2$

Answer 1

Radius = 18/2 = 9 in. Eaten area = (270/360)·πr^2 = (3/4)·π·9^2 = 60.75π ≈ 191.0 in^2.

Closest answer choice: A = 190.9 in^2.