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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#
