SOLUTION: A circular pool is surrounded by a circular walkway. The radius of the pool is x-6 and the radius of the walkway is x+6. Write a polynomial that represents the area of the walkwa
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Question 754477: A circular pool is surrounded by a circular walkway. The radius of the pool is x-6 and the radius of the walkway is x+6. Write a polynomial that represents the area of the walkway.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A circular pool is surrounded by a circular walkway. The radius of the pool is x-6 and the radius of the walkway is x+6. Write a polynomial that represents the area of the walkway.
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Area of walkway=area of pool and walkway-area of pool
Area of a circle=π radius^2
Area of walkway
=π(x+6)^2-π(x-6)^2
=π[(x+6)^2-(x-6)^2]
=π[x^2+12x+36-x^2+12x-36]
=24πx
area of the walkway=24πx
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