https://file.aiquickdraw.com/mathbot/file/1729048038075xp95kwdc.jpg

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).

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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.

Follow the steps to find the area of the shaded region. Sector Area = 78.6794 cm², Triangle Area = 70.4956 cm².

Learn how to find the area of a shaded region by subtracting the triangle area from the sector area. This detailed example uses a sector with an area of 78.6794 cm² and a triangle area of 70.4956 cm², demonstrating geometry concepts suitable for students in Grades 8-10.

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