Question

Sara runs along a circular track. The diameter of the track is 75 yards. She will jog 2 laps around the track. Which is the closest to the amount of yards Sara will run?

Answer 1

Answer:

Sara will run 8836 square yards

Step-by-step explanation:

Given that the diameter of the track Sara runs is 75 yards.

The radius is half the diameter, and so, 37.5

Sara will jog 2 laps around the track, therefore, the amount of yards Sara will run is obtained by finding twice the area of the circle she is going to cover.

Area of a circle is:

`A=\pi r^2`

Where r is the radius

Using r = 37.5

`\begin{gathered} A=\pi(37.5)^2 \\ =1406.25\pi \\ =4417.9 \end{gathered}`

Since she is jogging 2 laps, we have the yards she will cover to be:

2(4417.9)

= 8835.8

Approximately 8836 square yards