Question

At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.

a
50.2 feet

b
56.5 feet

c
100.5 feet

d
113.0 feet

Answer 1

The length of the metal frame that surrounds the trampoline can be calculated by subtracting the diameter of the mat from the diameter of the metal frame and then multiplying by π.

The diameter of the mat is 16 feet and the diameter of the metal frame is 18 feet, so the difference is 18 - 16 = 2 feet.

The length of the metal frame can be calculated as follows:

Length = π * (difference in diameter) = 3.14 * 2 feet = 6.28 feet

So, the length of the metal frame is 6.28 feet, which is closest to option a, 50.2 feet. The answer is therefore a.