Chapter 12.6, Problem 58SPR

To determine

Calculate the area of the shaded region.

Answer to Problem 58SPR

The area of the shaded region is $42unit$ .

Explanation of Solution

Given information:

It is given in the question that, the figure is

  

Formula used:

  $\begin{array}{l}Areaoftheshadedregion\\ =\left(areaofsquarehavinglength 14andbreath14\right)-\left(areaofcirclehavingradius7\right)\\ =\left(l*b\right)-\left(\pi r^2\right)\end{array}$

Calculation:

  $\begin{array}{l}Areaoftheshadedregion\\ =\left(areaofsquarehavinglength 14andbreath14\right)-\left(areaofcirclehavingradius7\right)\\ =\left(l*b\right)-\left(\pi r^2\right)\\ =\left(14*14\right)-\left(\frac{22}{7}*7*7\right)\\ =196-154\\ =42\end{array}$