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

the answer

is 128.86 Step-by-step explanation:

Answer 2

119.43cm^2

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 * breadth`

`= 11* 12`

= 132 cm^2

And, the area of the circle is

`= \pi* r^2\\\\ = (22)/(7) * 2^2\\\\ = (88)/(7) cm^2`

Now the area of the shaded region is

`= 132 cm^2- (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.