The area of the shaded region which is made when the circle with radius of 2cm sits inside a 11cm×12cm rectangle is 119.43 cm².
What is the area of a rectangle?
Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length rectangle and (b) is the width of the rectangle
The area of the circle is π times square of its radius.
[tex]A_c=\pi r^2[/tex]
Here (r) is the radius of the circle.
A circle with radius of 2cm sits inside a 11cm×12cm rectangle. The image of this rectangle is attached below.
The area of the shaded region is difference of the area of the rectange and the area of the circle. Thus the area of the shaded region is,
[tex]A=A_r-A_c\\A=12\times11-\pi(2)^2\\A=132-12.57\\A=119.43\rm\; cm^2[/tex]
Hence, the area of the shaded region which is made when the circle with radius of 2cm sits inside a 11cm×12cm rectangle is 119.43 cm².
Learn more about the area of rectangle here;
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