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?
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.
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