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Question Number 82392 by naka3546 last updated on 21/Feb/20

Commented by naka3546 last updated on 21/Feb/20

Area  of  shaded  region  is  ...

$${Area}\:\:{of}\:\:{shaded}\:\:{region}\:\:{is}\:\:... \\ $$

Commented by mr W last updated on 21/Feb/20

shaded area=((πR^2 )/4)−πr^2 =((π(R^2 −(2r)^2 ))/4)  =((π×12^2 )/4)=36π

$${shaded}\:{area}=\frac{\pi{R}^{\mathrm{2}} }{\mathrm{4}}−\pi{r}^{\mathrm{2}} =\frac{\pi\left({R}^{\mathrm{2}} −\left(\mathrm{2}{r}\right)^{\mathrm{2}} \right)}{\mathrm{4}} \\ $$$$=\frac{\pi×\mathrm{12}^{\mathrm{2}} }{\mathrm{4}}=\mathrm{36}\pi \\ $$

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