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45 votes
45 votes
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is long and wide. What is the length of a training track running around the field? (Use the value for , 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-example-1
User Punker
by
3.0k points

1 Answer

14 votes
14 votes

the length of the trainning track is 361.26 m

Step-by-step explanation

to find the length of the training track we need to add twice the length of the rectangle ot the circumference of the circle ,so

Step 1

so

Perimeter=2(Length)+2 ( area of half circle/2)

Perimeter=2(L1)+ area of a circle

hence

a)let


\begin{gathered} L1=88 \\ diamter\text{ of circle=59} \\ \pi=3.14 \end{gathered}

so


Perimeter=2(L1)+\pi *d

replace and calculate


\begin{gathered} Perimeter=2(88\text{ m})+(3.14*59) \\ Perimeter=176\text{ m+185.26} \\ Perimeter=361.26\text{ m} \end{gathered}

therefore, the length of the trainning track is 361.26 m

I hope this helps you

A training field is formed by joining a rectangle and two semicircles, as shown below-example-1
User AmirSojoodi
by
3.2k points