Find the area of a circle with a circumstance of 37.68

The area of the circle is 113.04

Step-by-step explanation:

To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of circumference of a circle and we will clear the radius

c = circumference = 37.68

r = radius

π = 3.14

c = 2π * r

r = c / 2π

we replace with the known values

r = 37.68 / (2 * 3.14)

r = 37.68 / 6.28

r = 6

Now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 6

π = 3.14

a = π * r²

we replace with the known values

a = π * 6²

a = π * 36

a = 113.04

The area of the circle is 113.04