Answer:
D. 140.4 in²
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 = 42, so we have...
42 = πd
Solving for d gives us...
42/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 = (42/π)/2 = 21/π
The area of the circle is...
A = π(21/π)²
A = π(441/π²)
A = 441/π
A = 140.3746598
A = 140.4 in²
