Answer:
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
