A circle with radius of 1cm sits inside a 3cm x 4cm rectangle.What is the area of the shaded region?
![A circle with radius of 1cm sits inside a 3cm x 4cm rectangleWhat is the area of the shaded region class=](https://us-static.z-dn.net/files/d6e/51a6d2c1e52b0e9fbb2a18b604d9711d.png)
[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]