need to find maximum area of rectangle that can be inscribed in a circle of radius r but need to use geometric programming of optimization to this
for the maximum area the function is $ xy $ (if x is length and y is breadth and radius is r ) and the constrain what i got is $(4r^2\cdot y^{-2})-(x^2\cdot y^{-2})=1$ since $x^2+y^2=(2r)^2$
but the degree of difficult for above is "$-1$" So Are the above equations are correct or am i missing a logic if they are wrong what should be the equations if they are correct how should i proceed further