Answer:
The area of the circle is 12.56 u²
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 = 12.56 u
r = radius
π = 3.14
c = 2π * r
r = c / 2π
we replace with the known values
r = 12.56 u / (2 * 3.14)
c = 2 u
The length of the radius is 2u
Now we calculate the area, we need to use the area formula of a circle:
a = area
r = radius = 2u
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2u)²
a = 3.14 * 4u²
a = 12.56 u²
The area of the circle is 12.56 u²