To find the area of the shaded region, we are instructed to subtract the area of the triangle from the area of the sector.

From the image:

• Sector Area = 78.6794 cm²
• Triangle Area = 70.4956 cm²

Now, we subtract the triangle's area from the sector's area:

$\text{Area of the Shaded Region} = \text{Sector Area} - \text{Triangle Area}$

$\text{Area of the Shaded Region} = 78.6794 - 70.4956 = 8.1838 \, \text{cm}^2$

Thus, the area of the shaded region is 8.1838 cm² (rounded to four decimal places).

Would you like more details on this calculation? Let me know if you have any questions. Here are five related questions to consider:

1. How is the sector area calculated in a circle?
2. What is the formula to find the area of a triangle given its base and height?
3. Why is it necessary to subtract the triangle's area to find the shaded region?
4. How does the angle of the sector (46°) relate to the calculation of its area?
5. Can the shaded area be found using other methods or geometric principles?

Tip: For circular sectors, always check the angle in degrees or radians and ensure your calculations match the appropriate unit.