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5 votes
The diameter of a circular cookie cake is 16 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.

100.48 square inches
200.96 square inches
401.92 square inches
803.84 square inches

User Danstahr
by
8.7k points

1 Answer

4 votes
The area of the whole circular cookie cake can be calculated using the formula:

A = πr^2

where r is the radius of the circle. We know that the diameter of the circle is 16 inches, so the radius is half of that, or 8 inches. Substituting into the formula:

A = 3.14 * 8^2
A = 3.14 * 64
A ≈ 200.96

So, the area of the whole cookie cake is approximately 200.96 square inches.

To find the area of half of the cookie cake, we can divide the area by 2:

A_half = 200.96 / 2
A_half = 100.48

Therefore, half of the cookie cake is approximately 100.48 square inches. So, the answer is 100.48 square inches.
User Misternewb
by
7.9k points
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