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The circumference (\(C\)) of a swimming pool is 47 feet. Which formula can you use to find the radius (\(r\)) if you know that \(C = 2\pi r\)?

A. \( r = \frac{47}{2\pi} \)

B. \( r = 27 \)

C. \( r = 10 \)

D. \( r = 27C \)

Answer :

Final answer:

To find the radius of a circle given its circumference, you can use the formula r = C / (2π), where C is the circumference and r is the radius. In the case of 47 feet, the radius would be approximately 7.48 feet.

Explanation:

The circumference of any circle, including a swimming pool, is related to the radius through the formula: C = 2πr, where 'C' is the circumference and 'r' is the radius. To find the radius when the circumference is given, we can rearrange this formula to get : r = C / (2π). In your case, if the circumference C is 47 feet, then you can find the radius using the formula: r = 47 / (2 * 3.14159), which equals about 7.48 feet. This is an approximation using the common approximation for pi (π), 3.14159.

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