Asked by gabby
                The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q. At what height above the diameter should the horizontal line be placed so as to minimize the shaded area? 
I would post the figure but the website is not allowing it.
I've tried using the equation for a circle and got x^2 + y^2 = 1, and used that to solve for x, x=sqrt(1-y^2), to integrate but can't seem to get the answer.
            
        I would post the figure but the website is not allowing it.
I've tried using the equation for a circle and got x^2 + y^2 = 1, and used that to solve for x, x=sqrt(1-y^2), to integrate but can't seem to get the answer.
Answers
                    Answered by
            Steve
            
    What is the shaded area?
    
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