Prove-that-among-all-cyclic-n-gons-which-have-same-radius-regular-n-gon-has-maximum-area-

Question Number 5816 by Rasheed Soomro last updated on 29/May/16

$$\mathcal{P}{rove}\:{that}\:{among}\:{all}\:{cyclic}\:\:{n}-{gons},\: \\ $$$${which}\:{have}\:{same}\:{radius},\:{regular}\:{n}-{gon} \\ $$$${has}\:{maximum}\:{area}. \\ $$

Commented by Yozzii last updated on 29/May/16

$${Is}\:{induction}\:{possible}\:{for}\:{n}\geqslant\mathrm{3}? \\ $$

Commented by Rasheed Soomro last updated on 29/May/16

$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{how}? \\ $$

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