Answer:
A = 113.14 in^2
Explanation:
The circumference is given by
C = 2 * pi *r
37 5/7 = 2 * 22/7 * r
Change the first number to an improper fraction
(7*37+5)/7 = 44/7 r
264 /7 = 44/7 r
Multiply each side by 7/44
7/44 *264 /7 = 44/7 r * 7/44
6 = r
Now we need to find the area
A = pi r^2
A = 22/7 * 6^2
A = 22/7 * 36
A =792/7
A =113.1428571
To the nearest hundredth
A = 113.14 in^2