For this case, what we must do is find three times the perimeter of the figure.
The length of the arch is given by:
[tex] s = r * \alpha
[/tex]
Where,
r: radius of the circle
alpha: central angle in radians
We have then:
[tex] s = 35 * (\frac{280}{180}) * \pi
s = 171 yards
[/tex]
Then, the perimeter of the figure is:
[tex] P = 3 * (171 + 45)
P = 648 yards
[/tex]
Answer:
If David runs around the field three times, he covers a distance of 648 yards.
