Question

Can someone help, me with this geometry problem

Answer 1

156.25% increase (56.25% added)

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

56.25%

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 * 20^2` =
`400\pi`

Grazing area with 25 ft rope =
`\pi * 25^2` =
`625\pi`

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