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Question Number 84641 by M±th+et£s last updated on 14/Mar/20

Commented by M±th+et£s last updated on 14/Mar/20

$$asquare,acircleandtowsemicircles$$$$theareofthesquareis4.whatisthe$$$$lengthofthebluelenght$$

Answered by MJS last updated on 15/Mar/20

$$\mathrm{area}\mathrm{of}\mathrm{square}=4\Rightarrow \mathrm{side}\mathrm{length}=2\Rightarrow$$$$\mathrm{radius}\mathrm{of}\mathrm{incircle}=1\Rightarrow$$$$\mathrm{radii}\mathrm{of}\mathrm{blue}\mathrm{semicircles}r+R=1\Rightarrow R=1-r$$$$\mathrm{length}\mathrm{of}\mathrm{blue}\mathrm{line}=(r+R)\pi =\pi$$

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