Question

The field inside a running track is made up of arectangle that is 84.39 m long and 73 m end.wide, together with a half-circle at eachWhat is the distance around the inside of the track?Exact answer.

Answer 1

we have that

the distance around the inside of the track is equal to two times the length of the rectangle plus the circumference of one circle (two half circles is the same that one circle)

therefore

$P=2\cdot(84.39)+2\cdot\pi\cdot r$

the radius of the circle is

r=73/2=36.5 m -----> the radius is half the diameter

substitute

$\begin{gathered} P=2\cdot(84.39)+2\cdot\pi\cdot36.5 \\ P=(168.78+73\pi)\text{ m} \end{gathered}$

the answer is

(168.78+73pi) meters