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.

Respuesta :

Answer:

The length, of the metal frame that surrounds the trampoline is 44.0 feet.

Step-by-step explanation:

Given:

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.

Use 3.14 for π.

Now, to find the length, in feet, of the metal frame that surrounds the trampoline.

As given, diameter is 14 feet.

So, radius (r) = [tex]\frac{Diameter}{2}=\frac{14}{2}=7\ feet.[/tex]

Now, to get the length of the metal frame we put formula of circumference:

[tex]Circumference=2\pi r[/tex]

[tex]Circumference=2\times 3.14\times 7[/tex]

[tex]Circumference=43.96\ feet.[/tex]

So, rounding into nearest tenth = 44.0 feet.

Therefore, the length, of the metal frame that surrounds the trampoline is 44.0 feet.