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°. What is the area of the cookie cake that was eaten? Round your answer to the nearest tenth.(1 point)

A=127.2 in2

A=190.9 in2

A=63.6 in2

A=254.5 in2

Answer 1

Radius = 18/2 = 9 in. Area eaten = (270/360)·π·9^2 = (3/4)·81π = 60.75π ≈ 191.0 in^2. Closest choice: 190.9 in^2.