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The circumference of Rachel's hula hoop is 62.8 inches. What is the area of the hula hoop in square inches?

A. 124.6 square inches
B. 312.8 square inches
C. 623.6 square inches
D. 988.0 square inches

Answer :

Final answer:

The area of the hula hoop in square inches is 312.8 square inches.

Explanation:

The circumference of a circle can be found using the formula ξr = 2πr, where ξr is the circumference and r is the radius. In this case, the circumference is given as 62.8 inches. Dividing this by 2π will give us the radius. 62.8 / 2π = 10 inches.

The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. Substituting the value of the radius we found earlier, the area is calculated as A = π * 10² = 100π square inches. Since the question asks for the area in square inches, we can use the approximation π ≈ 3.14 to simplify the calculation. 100 * 3.14 = 314 square inches. Therefore, the correct answer is B. 312.8 square inches.

Learn more about Area of a circle here:

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