Question

Find the area of the circle given the circumference is 37.7 feet

Answer 1

113.04 ft^2

Explanation:

Circumference formula:

C = 2πr or πd

Let's use the one with r(radius) in it because we need to find the radius to find the area, or we could also use the other formula but you would need to half the diameter to get the radius then solve for the area. So it's just more simpler to find the radius instead.

Given:

Circumference = 37.7

Plug in formula:

C = 2πr

37.7 = 2(3.14)r

37.7 = 6.28r

/6.28 /6.28

r = 6.00318471338

Rounded ≈ 6

The radius is 6.
Now let's plug the radius into the formula for the area of a circle which is,

a = π
`r^(2)`

a = 3.14(6)^2

a = 3.14(36)

a = 113.04 ft^2