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A piece of wire, P cm long, is bent to form the shape shown in the figure below. The figure consists of a semicircular arc of radius r cm and two perpendicular sides of length x cm each. Express x in terms of P
and r, hence show that the area A `cm^2`, of the figure is given by `A = 1/2 pi r^2` +`1/8``( P- πr)^2`