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)
Responses
The area of the whole cookie cake is πr^2, where r is the radius of the cake (half of the diameter). In this case, r = 18/2 = 9 inches.
The missing section forms an angle of 270° out of a full circle, which is 360°. So the area of the missing section is (270/360) * π * 9^2.
Calculating this, we get (3/4) * π * 9^2 ≈ 191 square inches.
Therefore, the area of the cookie cake that was eaten is approximately 191 square inches.