Question

At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 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.

Answer 1

15.7 feet

18.9 feet

31.4 feet

37.7 feet pick one

Answer 2

The length of the metal frame that surrounds the trampoline can be calculated by finding the circumference of the larger circle and subtracting the circumference of the inner circle.

Circumference of the larger circle (metal frame):
C = π*diameter
C = 3.14*12
C = 37.68 feet

Circumference of the inner circle (trampoline mat):
C = π*diameter
C = 3.14*10
C = 31.4 feet

Length of the metal frame:
Length = Circumference of larger circle - Circumference of inner circle
Length = 37.68 - 31.4
Length = 6.28 feet

So, the length of the metal frame that surrounds the trampoline is 6.3 feet.

Answer 3

31.4 feet