Question

If the circumference of a circle is 198 feet, then what is the area to the nearest square foot?

Answer 1

To find the area of a circle, we use the formula A = πr^2, where r is the radius of the circle.

First, we need to find the radius of the circle using the circumference formula, C = 2πr.

Given that the circumference is 198 feet, we can set up the equation as:
198 = 2πr
r = 198 / (2π)
r ≈ 31.54 feet

Now, we can calculate the area using the formula A = πr^2:
A = π(31.54)^2
A ≈ π(993.61)
A ≈ 3125.27 square feet

Therefore, the area of the circle to the nearest square foot is approximately 3125 square feet.