A circular pool is surrounded by a circular walkway. The radius of the pool is y - 4 and the radius of the full circle formed by the walkway is y + 4. Write a polynomial that represents the area of just the walkway itself, not including the space covered by the pool.

1. 16πy

2. 32

3. - 16πy

4. 16πy + 32

Question

Marcos Hammond

Mathematics

2 February, 14:11

A circular pool is surrounded by a circular walkway. The radius of the pool is y - 4 and the radius of the full circle formed by the walkway is y + 4. Write a polynomial that represents the area of just the walkway itself, not including the space covered by the pool.

1. 16πy

2. 32

3. - 16πy

4. 16πy + 32

+2

Answers (1)

Know the Answer?

Franklin Johnston · Answer 1

A=πr²

pool=π (y-4) ²=π (y²-8y+16)

total=π (y+4) ²=π (y²+8y+16)

walkway=total-pool

walkway=π (y²+8y+16) - π (y²-8y+16) =

π (y²+8y+16-y²+8y-16) =

π (16y) =

16πy

first option is answer