Answer:
Step-by-step explanation:
We are given the circumference. The formula for circumference is
C = πd where d is the diameter and C is the circumference.
We are given C = 53.41, so we have...
53.41 = πd
Solving for d gives us...
53.41/π = d
The formula for area of a circle is
A = π(r²) where A is the area, and r is the radius
The radius is half of the diameter, so we divide 'd' by 2 to get the radius...
r = d/2 = (53.41/π)/2 = 26.705/π
The area of the circle is...
A = π(26.705/π)²
A = π(26.705²/π²)
A = 26.705²/π
A = 227.0049315 in²
