Calculate the value of sales on which commission was paid. Find the area.

The problem asks to find the area of the shaded region, which is the area of the circle minus the area of the inscribed square. The value of $\pi$ is given as $\frac{22}{7}$.

Step 1: Define the area of the circle. Let $r$ be the radius of the circle. The area of the circle ($A_{circle}$) is given by the formula: $A_{circle} = \pi r^2$

Step 2: Define the area of the inscribed square in terms of the circle's radius. For a square inscribed in a circle, the diagonal of the square is equal to the diameter of the circle, which is $2r$. Let $s$ be the side length of the square. Using the Pythagorean theorem for the diagonal of the square: $s^2 + s^2 = (2r)^2$ $2s^2 = 4r^2$ $s^2 = 2r^2$ The area of the square ($A_{square}$) is $s^2$: $A_{square} = 2r^2$

Step 3: Calculate the area of the shaded region. The shaded area ($A_{shaded}$) is the area of the circle minus the area of the square: $A_{shaded} = A_{circle} - A_{square}$ $A_{shaded} = \pi r^2 - 2r^2$ Factor out $r^2$: $A_{shaded} = r^2(\pi - 2)$

Step 4: Substitute the given value of $\pi$. Given $\pi = \frac{22}{7}$: $A_{shaded} = r^2 \left(\frac{22}{7} - 2\right)$ To subtract, convert 2 to a fraction with a denominator of 7: $2 = \frac{14}{7}$. $A_{shaded} = r^2 \left(\frac{22}{7} - \frac{14}{7}\right)$ $A_{shaded} = r^2 \left(\frac{22 - 14}{7}\right)$ $A_{shaded} = r^2 \left(\frac{8}{7}\right)$ Since no specific dimensions (like the radius $r$) are provided in the image, the area can only be expressed in terms of $r$.

The area of the shaded region is $\boxed{\frac{8}{7}r^2}$.