Question

A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer 1

Answer:

42.43  $cm^{2}$

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

$Area\ of\ cirle=\pi r^{2}$

                      $=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}$

As here length an width both are 11 cm, we can say that this is a square.

$Area\ of\ square=(Side)^{2}$

                         $=11\times11=121\ cm^{2}$

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 $cm^{2}$

Therefore, the area of the shaded region will be 42.43  $cm^{2}$