a circular track has a circumference of 200 pi squared meters. what is the radius of the track?

Are you sure its squared meters for the circumference? A circumference is a line not an area.

disregarding the units,

2 pi r = 200 pi
r = 100

To find the radius of a circular track, we can use the formula for the circumference of a circle. The formula is given by C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the circumference of the track is 200π squared meters.

Plugging the given information into the formula, we have:
200π = 2πr

We can cancel out the π on both sides of the equation:
100 = r

Therefore, the radius of the circular track is 100 meters.