Chapter 11.6, Problem 26WE

a.

To determine

To draw a figure shown.

Explanation of Solution

Figure is,

  

b.

To determine

To determine the area of shaded region.

Answer to Problem 26WE

Total shaded region is $2.28$ .

Explanation of Solution

Given information :

The radius of the square is 2.

Figure is,

  

Now we shall find the area of,

  

We know that the total area of shaded region is 4 times this.

Now the area of shaded region is,

  $\begin{array}{l}A=\left(\frac{{90}^{\circ }}{{360}^{\circ }}\right)\left(3.14\right){\left(1\right)}^2+\left(\frac{{90}^{\circ }}{{360}^{\circ }}\right)\left(3.14\right){\left(1\right)}^2-{\left(1\right)}^2\\ A=0.57\end{array}$

Total shaded region is $4\left(0.57\right)=2.28$