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Question Number 5338 by FilupSmith last updated on 09/May/16

Commented by FilupSmith last updated on 09/May/16

$$\mathrm{I}\mathrm{have}n\mathrm{lines}\mathrm{inside}\mathrm{the}\mathrm{interior}\mathrm{of}\mathrm{a}$$$$\mathrm{semi}\mathrm{circle}\mathrm{with}\mathrm{radius}r.\mathrm{All}\mathrm{lines}\mathrm{are}$$$$\mathrm{of}\mathrm{length}a.$$$$$$$$\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{all}\mathrm{lines}\mathrm{is}\mathrm{less}\mathrm{than}$$$$\mathrm{or}\mathrm{equal}\mathrm{to}\mathrm{the}\mathrm{circumference}.$$$$$$$$\mathrm{That}\mathrm{is}:$$$$na⩽\pi r$$

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