A circle with radius of 1cm sits inside a 3cm x 4cm rectangle.What is the area of the shaded region?
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[tex]\bf \stackrel{\textit{area of a rectangle}}{A=Lw}\qquad \qquad \stackrel{\textit{area of a circle}}{A=\pi r^2} \\\\\\ \stackrel{\textit{area of the rectangle}}{(3\cdot 4)}~~~~-~~~~\stackrel{\textit{area of the circle}}{[\pi (1)^2]}~~~~=\textit{shaded area} \\\\\\ 12-\pi =\textit{shaded area}\implies 8.86\approx \textit{shaded area}[/tex]