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Debbie measures a prize wheel at a carnival and calculates that it has a circumference of 6.908 feet. What is the prize wheel's area?

Question

Debbie measures a prize wheel at a carnival and calculates that it has a circumference of 6.908 feet. What is the prize wheel's area?

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Solution

To find the area of the prize wheel, we first need to find the radius. We know that 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 6.908 feet, we can rearrange the formula to solve for r:

r = C / (2π)

Substituting the given circumference:

r = 6.908 / (2π) r = 1.1 feet (approximately)

Now that we have the radius, we can find the area (A) using the formula A = πr²:

A = π * (1.1)² A = 3.8 square feet (approximately)

So, the area of the prize wheel is approximately 3.8 square feet.

This problem has been solved

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