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