The figure shows an aerial view of a playground. If David runs around the field three times, he covers a distance of_____yards.

Question

asked May 12, 2017 82.4k views

2 Answers

Mikko Wilkman · Answer 1 · 2017-05-16T05:34:23+0000

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:

Answer:

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