SOLUTION: a circular lawn is surrounded by a flower bed with a uniform width; if the flower bed has an area of 36 and the radius of the entire garden is 8; find the width of the flower bed

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Question 1164344: a circular lawn is surrounded by a flower bed with a uniform width; if the flower bed has an area of 36 and the radius of the entire garden is 8; find the width of the flower bed
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If x is width of the flower bed, then
Whole lawn+bed area, pi%2A8%5E2
Inner area, pi%288-x%29%5E2
Just the flower bed, of 36 ft^2, pi%2A8%5E2-pi%288-x%29%5E2=36
Solve for x.