A circle has circumference of 56.52 ft. What is its area? Use 3.14 for pie.
I got 18, but my only choices are 28.26 , 56.52 , 254.34 , or 1,017.36
18
C = pi * d
56.52 = 3.14d
56.52/3.14 = d
? = d
A = pi * r^2
I'll be glad to check your answer.
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To find the area of a circle, we'll need to use the formula:
Area = π * r^2
Where π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.
First, we need to find the radius of the circle. We know that the circumference of a circle is given by the formula:
Circumference = 2 * π * r
Given that the circumference is 56.52 ft, we can rearrange the formula to solve for the radius:
56.52 = 2 * 3.14 * r
Dividing both sides of the equation by 2 * 3.14, we get:
r = 56.52 / (2 * 3.14)
r ≈ 9 ft
Now that we know the radius, we can use the formula for the area:
Area = π * r^2
Area = 3.14 * 9^2
Area = 3.14 * 81
Area ≈ 254.34 square feet
Therefore, the area of the circle is approximately 254.34 square feet.