Asked by trose
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
. What is the area of the cookie cake that was eaten? Round your answer to the nearest tenth. (1 point)
Responses
Answers
Answered by
GPT 3.5
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.
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.
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