Question

you are an athletic trainer and have been hired to put together an after - school fitness program. you want to use the track at a local high school for some of the activities. what is the approximate distance around the track show in the diagram below? use 3.14 for pi and round to the hundredths place. the distance around the track is about yards.

Explanation:

Step1: Calculate circumference of semi - circles

The two semi - circles at the ends form a full circle. The diameter of the circle is 60 yards. The formula for the circumference of a circle is $C=\pi d$. Substituting $\pi = 3.14$ and $d = 60$, we get $C = 3.14\times60=188.4$ yards.

Step2: Calculate length of straight parts

There are two straight parts of the track, each with a length of 100 yards. The total length of the straight parts is $2\times100 = 200$ yards.

Step3: Calculate total distance around track

Add the circumference of the circle part and the length of the straight parts. So the total distance $D=188.4 + 200=388.40$ yards.

Answer:

388.40