Question

The straightway on each side measures 1000 meters. The curves are semicircles with diameter of 74 meters. What is the distance, in meters, around the entire track? Use the pi button on your calculator and express you answer to the nearest hundredth.

Answer 1

The distance of the entire track is 2232.48 meters

Step-by-step explanation

The track is:

If each curve is a semicircle, then between the two curves we have a complete circle. We need to find the circumference of the circle with diameter 74 meters and add twice the length of the straightway to find the distance of the entire track:

`C=\pi\cdot D=\pi\cdot74m=232.48m`

The distance of the entire track is:

`d_{\text{track}}=C+1000m+1000m=232.48m+2000m=2232.48m`