Answer:
56.25%
Step-by-step explanation:
We are given that a horse is tethered on a 20 ft rope. If the rope is lengthened to 25 ft, we are to percentage by which its grazing area increases.
Grazing area with 20 ft rope = [tex]\pi \times 20^2[/tex] = [tex]400\pi[/tex]
Grazing area with 25 ft rope = [tex]\pi \times 25^2[/tex] = [tex]625\pi[/tex]
Percentage by which area increases = [tex] \frac { 6 2 5 \pi - 400 \pi } { 400 \pi } \times 100 [/tex] = 56.25%
