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°
270
°
. What is the area of the cookie cake that was eaten? Round your answer to the nearest tenth.(1 point)
Responses

A=190.9 in.2
𝐴
=
190.9

in.
2
upper A equals 190.9 in. squared

A=254.5 in.2
𝐴
=
254.5

in.
2
upper A equals 254.5 in. squared

A=63.6 in.2
𝐴
=
63.6

in.
2
upper A equals 63.6 in. squared

A=127.2 in.2
𝐴
=
127.2

in.
2
upper A equals 127.2 in. squared

Answer 1

Diameter = 18 in → radius r = 9 in.
Area of whole cookie = πr^2 = π(9^2) = 81π.
Eaten is a 270° sector = (270/360) = 3/4 of the circle, so area eaten = (3/4)(81π) = 60.75π ≈ 190.99 in^2.

Rounded to the nearest tenth ≈ 191.0 in^2; the closest answer choice is 190.9 in^2.