The image shows a problem where we are asked to find the area of the shaded region in a sector of a circle. The sector area and the triangle area are provided, and we need to subtract the triangle area from the sector area to get the shaded region.

Given:

• Sector Area = $72.0472 \, \text{cm}^2$
• Triangle Area = $24.8688 \, \text{cm}^2$

The area of the shaded region can be found by:

$\text{Shaded Area} = \text{Sector Area} - \text{Triangle Area}$

Now, let's calculate that.The area of the shaded region is $47.1784 \, \text{cm}^2$, rounded to four decimal places.

Do you want any further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How is the sector area of a circle calculated?
2. What formula is used to find the area of a triangle in this context?
3. How would the result change if the central angle of the sector were different?
4. What is the relationship between the triangle and the sector in terms of geometry?
5. How can this approach be applied to find shaded areas in other geometric figures?

Tip: When working with sectors, always ensure the angle is in the correct unit (degrees or radians) when applying formulas.