Question

A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 12\,\text{cm}}11cm×12cmstart color #11accd, 11, start text, c, m, end text, times, 12, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answer 1

Answer:

119.43cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

As we know that

= Area of the rectangle - Area of the circle

where,

Area of rectangle is

$= length \times breadth$

$= 11\times 12$

= 132 cm^2

And, the area of the circle is

$= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2$

Now the area of the shaded region is

$= 132 cm^2- \frac{88}{7}cm^2$

= 119.43cm^2

We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.