SOLUTION: A concrete walk of uniform width is to be built around a circular pool, as shown in the figure. The radius of the pool is 11 meters, and enough concrete is available to cover squ

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Question 717706: A concrete walk of uniform width is to be built around a circular pool, as shown in the figure. The radius of the pool is 11 meters, and enough concrete is available to cover square meters. If all the concrete is to be used, how wide should the walk be?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
You did not provide a number for how many square meters of concrete is available, so let's just call this quantity, M.
The distance, x will be the uniform width of the walkway around the poo. The walkway area is then pi%2A%2811%2Bx%29%5E2-pi%2A11%5E2.

ALL of the concrete will cover M square meters. ALL of this concrete is to be used. The relationship then is pi%2A%2811%2Bx%29%5E2-pi%2A11%5E2=M. You can solve for x. When you decide what is M value, you can use this to get the desired value for x.