Question

a training field is formed by joining a rectangle and two semicircles, as shown below. the rectangle is 80 m long and 59 m wide. what is the length of a training track running around the field? (use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.)

Explanation:

Step1: Calculate the circumference of the circle

The two semicircles at the ends form a complete circle. The formula for the circumference of a circle is \(C = \pi d\), where \(d = 59\) m.
\(C=3.14\times59 = 185.26\) m

Step2: Calculate the length of the two straight sides

The two straight sides of the track are each 80 m long. So the total length of the two straight sides is \(2\times80=160\) m.

Step3: Calculate the total length of the track

The total length of the track is the sum of the circumference of the circle and the lengths of the two straight sides.
\(L = 185.26+160=345.26\) m

Answer:

\(345.26\) m