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. (1 point)
50.2 feet
56.5 feet
100.5 feet
113.0 feet
The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.
For the mat of the trampoline with a diameter of 16 feet, the circumference is C = π(16) = 3.14(16) = 50.24 feet (rounded to the nearest tenth).
For the metal frame of the trampoline with a diameter of 18 feet, the circumference is C = π(18) = 3.14(18) = 56.52 feet (rounded to the nearest tenth).
Therefore, the length of the metal frame that surrounds the trampoline is 56.5 feet (rounded to the nearest tenth).
The correct answer is 56.5 feet.