Question

Can someone help, me with this geometry problem

Answer 1

Answer:

156.25% increase (56.25% added)

Step-by-step explanation:

Area formula of circle: A = πr²

1. Area when rope = 20 ft:

Plug in: A = π(20)²

Multiply: A = 400π ft²

2. Area when rope = 25 ft:

Plug in: A = π(25)²

Multiply: A = 625 ft²

3. Percent increase:

Increase compared to original: 625/400 = 1.5625 = 156.25%

Answer 2

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 = $\pi \times 20^2$ = $400\pi$

Grazing area with 25 ft rope = $\pi \times 25^2$ = $625\pi$

Percentage by which area increases = $\frac { 6 2 5 \pi - 400 \pi } { 400 \pi } \times 100$ = 56.25%