Find the area of a circle with a circumference of 53.41 inches

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