Question

The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.

Answer 1

The radius of the track is 32 meters

Explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

`L=2\pi r`

If we already know the length of the circle, we can solve the above expression for r:

`\displaystyle r=(L)/(2\pi)`

The distance given around a circular running track is L=200 m, thus:

`\displaystyle r=(200)/(2\pi)=31.830989\ m`

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters