Lesson 4: Circles
At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 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)
Group of answer choices
37.7 feet
75.4 feet
44.0 feet
87.9 feet
To find the length of the metal frame that surrounds the trampoline, we need to add the circumference of the mat and the circumference of the metal frame.
First, let's calculate the circumference of the mat using the formula:
Circumference = π * diameter
Circumference = 3.14 * 12
Circumference = 37.68 feet
Next, let's calculate the circumference of the metal frame using the formula:
Circumference = π * diameter
Circumference = 3.14 * 14
Circumference = 43.96 feet
Now, add the two circumferences together to find the total length of the metal frame:
37.68 + 43.96 = 81.64 feet
Rounded to the nearest tenth, the length of the metal frame that surrounds the trampoline is 81.6 feet.
Therefore, the closest answer choice is 75.4 feet.