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17. What's the radius of a circle with an area of 64 square feet? A. 4.51 ft. B. 20.38 ft. C. 41.5 ft. D. 5.41 ft.

Question

  1. What's the radius of a circle with an area of 64 square feet? A. 4.51 ft. B. 20.38 ft. C. 41.5 ft. D. 5.41 ft.
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Solution

The area of a circle is given by the formula A = πr², where A is the area and r is the radius.

Given that the area A is 64 square feet, we can solve for r as follows:

64 = πr²

Divide both sides by π:

64/π = r²

Take the square root of both sides to solve for r:

r = √(64/π)

Using a calculator, we find that r ≈ 4.51 feet.

So, the answer is A. 4.51 ft.

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