Answer:
31.4 in
Explanation:
This is a tricky question,
if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.
Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:
Circumference = 2πr
= 2 x 3.14 x 5
= 31.4 in