9514 1404 393
Answer:
30.3 in
Explanation:
The applicable relation between angle (θ), radius (r), and arc length (s) is ...
s = rθ . . . . . . where θ is in radians
We have ...
75 in = x(142(π/180))
Solving for x, we get ...
x = (75 in)(180/142)/π ≈ 30.262 in
The radius of the circle is about 30.3 inches.