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The circumference of a circular painting is 47.1 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.

Question

The circumference of a circular painting is 47.1 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.

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Solution

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Given that the circumference (C) is 47.1 feet, we can rearrange the formula to solve for the radius (r):

r = C / (2π)

Substituting the given values:

r = 47.1 / (2 * 3.14)

r = 47.1 / 6.28

r = 7.5 feet

So, the radius of the painting is 7.5 feet.

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