High School

A circular cake is split into four quarters. If the diameter of the cake is 25 cm, how long is the perimeter of each piece? Round to three significant figures, without units.

Options:
A. 78.5
B. 65.4
C. 50.3
D. 39.3

Answer :

Final answer:

The perimeter of each piece of the circular cake is approximately 78.5 cm.

Explanation:

To find the perimeter of each piece of the circular cake, we need to find the circumference of each quarter. The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.

In this case, the diameter of the cake is 25 cm, so the circumference is C = π(25 cm). Using the approximation of π as 3.14, the circumference is 3.14(25 cm) = 78.5 cm. Therefore, the perimeter of each piece is approximately 78.5 cm.

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