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. 15. 7 feet 18. 9 feet 31. 4 feet 37. 7 feet.

Respuesta :

pi is the ratio of circumference to the diameter of same circle. The length of the metal frame of trampoline considered is: Option D:  37. 7 feet.

How to find the length of the outer line of a circle?

Length of the outer line of a circle is called its circumference.

If the circle has got radius of r units length, then

Circumference of that circle = 2π r units = πd units where d is diameter of that circle.

This is why, we get the ratio of circumference to diameter as:

[tex]\dfrac{Circumference}{Diameter} = \pi[/tex]

It is given that the trampoline in consideration has got diameter of 12 feet.

It is said that π = 3.14 to be considered (its not its exact value though).

Therefore, we get

[tex]\rm Circumference/12 = 3.14\\\\\text{Multiplying 12 on both sides}\\\\Circumference = 12 \times 3.14 = 37.68 \: \rm feet \approx 37.7 \: feet[/tex]

Hence, the length of the metal frame of trampoline considered is obtained as: Option D:  37. 7 feet.

Learn more about circumference of circle here:

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