The area of the shaded region is the area of the circle minus the area of the triangle PQR.

Step 5: Calculate the area of the shaded region.
The area of the shaded region is the area of the circle minus the area of the triangle PQR.
From previous calculations:
Area of circle $A_{circle} \approx 50.806 \text{ cm}^2$ (using $R \approx 4.0215$ cm).
Area of triangle $K \approx 18.94748 \text{ cm}^2$.

$$A_{shaded} = A_{circle} - K$$ $$A_{shaded} = 50.806 - 18.94748$$ $$A_{shaded} = 31.85852 \text{ cm}^2$$

Correct to one decimal place:

$$A_{shaded} \approx 31.9 \text{ cm}^2$$

The area of the shaded region is $31.9 \text{ cm}^2$.