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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 94 m long and 72 m wide. What is the length of a training track running around the field? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in your answer.)

A training field is formed by joining a rectangle and two semicircles as shown below The rectangle is 94 m long and 72 m wide What is the length of a training t class=

Respuesta :

Given data:

The given figure is shown.

The expresssion for the perimeter of the track is,

[tex]\begin{gathered} P=\frac{1}{2}(\pi D)+2L+\frac{1}{2}(\pi D) \\ =\pi D+2L \end{gathered}[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} P=\pi(72\text{ m)+2(94 m)} \\ =226.08\text{ m +188 m} \\ =414.08\text{ m} \end{gathered}[/tex]

Thus, the perimeter of the track is 414.08 m.

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