The figure shows an aerial view of a playground. if david runs around the field

For this case, what we must do is find three times the perimeter of the figure.

The length of the arch is given by:

Where,

r: radius of the circle

alpha: central angle in radians

We have then:

Then, the perimeter of the figure is:

If David runs around the field three times, he covers a distance of 648 yards.

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

cutt.ly/kzH1l58