SOLUTION: A circular swimming pool is surrounded by a walkway 2m wide. Find the radius of the pool if the area of the walkway is 88m square?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A circular swimming pool is surrounded by a walkway 2m wide. Find the radius of the pool if the area of the walkway is 88m square?      Log On


   

Question 109821: A circular swimming pool is surrounded by a walkway 2m wide. Find the radius of the pool if the area of the walkway is 88m square?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the radius of the pool
Then x+2 is radius of pool + walkway
pi%2A%28x%2B2%29%5E2 is area of pool + walkway
pi%2Ax%5E2 is area of pool
Area of walkway is the difference
pi%2A%28x%2B2%29%5E2+-+pi%2Ax%5E2+=+88
pi%2A%28x%5E2+%2B+4x+%2B+4%29+-+pi%2Ax%5E2+=+88
pi%2A%284x+%2B+4%29+=+88
4x+%2B+4+=+88%2Fpi
4x+=+%2888%2Fpi%29+-+4
x+=+%2822%2Fpi%29+-+1
x+=+7.003+-+1
x+=+6.003 m