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Question Number 4225 by Rasheed Soomro last updated on 03/Jan/16

$${}^{\bullet }\mathrm{A}\mathrm{kite}\mathrm{is}\mathrm{a}\mathrm{quadrilateral}\mathrm{having}\mathrm{two}$$$$\mathrm{pairs}\mathrm{of}\mathrm{adjacent}\mathrm{sides}\mathrm{equal}.$$$$\mathrm{Draw}\mathrm{a}\mathrm{semi}-\mathrm{circle}\mathrm{inside}\mathrm{it}\mathrm{touching}$$$$\mathrm{all}\mathrm{the}\mathrm{sides}\mathrm{using}\mathrm{Eucledian}\mathrm{tools}.$$$${}^{\bullet }\mathrm{Can}\mathrm{we}\mathrm{show}\mathrm{that}\mathrm{the}\mathrm{above}\mathrm{semi}-\mathrm{circle}$$$$\mathrm{is}\mathrm{of}\mathrm{the}\mathrm{laregest}\mathrm{possible}\mathrm{area}\mathrm{inside}\mathrm{the}$$$$\mathrm{kite}?$$

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