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| Math Central | Quandaries & Queries |
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Question from Wafa, a student: May Lee bought a cake which is circular in shape. Her sister ate a quarter of the cake. Given that the area of the top surface of the remaining portion is 520 square cm, find the diameter of the cake. |
Hi Wafa,
I assume that May Lee's sister cut her quarter of the cake by removing a wedge as in the photo below. In the photo only about an eighth is removed.
What remains is 3/4 of the cake so if the top surface area of 3/4 of the cake is 520 sq cm what is the top surface area of 1/4 of the cake? What is the top surface area of the entire cake?
The area od a circular disk is π r2 sq cm where r is the radius in centimeters. What is the radius of the cake? What is its diameter?
Penny
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