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The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.

615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches

1 Answer

5 votes

Answer:

Explanation:

The area of a circle is given by the formula:

area = π x (radius)²

where the radius is half of the diameter. In this case, the radius of the cookie cake is:

radius = 14 / 2 = 7 inches

Using π = 3.14, the area of the entire cookie cake is:

area = 3.14 x 7² = 3.14 x 49 ≈ 153.86 square inches

To find half of the cookie cake, we need to divide this area by 2:

half area = 153.86 / 2 = 76.93 square inches

Rounding the answer to the nearest whole number, we get:

half area ≈ 77 square inches

Therefore, the answer is approximately 77 square inches. The closest option is D) 76.93 square inches.

User Vlad Luchansky
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