https://file.aiquickdraw.com/mathbot/file/1726755943199z1mjabf5.jpg

To find the area of the shaded region (the sector of the circle), we can use the formula provided:

\[
\text{Sector Area} = \left( \frac{\text{angle of the sector}}{360} \right) \times \pi r^2
\]

### Step 1: Identify the values from the diagram
- **Angle of the sector**: \( 129^\circ \)
- **Radius** \( r \): \( 8 \, \text{cm} \)

### Step 2: Apply the values to the formula

\[
\text{Sector Area} = \left( \frac{129}{360} \right) \times \pi \times 8^2
\]

Now, let's calculate the sector area and round it to four decimal places.The area of the sector is approximately \( 72.0472 \, \text{cm}^2 \), rounded to four decimal places.

Would you like more details on how this was calculated or do you have any further questions?

Here are five related questions for further exploration:
1. How would the sector area change if the angle was 90° instead of 129°?
2. What is the formula for calculating the area of the entire circle?
3. How can you find the length of the arc of the sector?
4. How would the sector area change if the radius was increased to 10 cm?
5. How would you calculate the area of the remaining unshaded part of the circle?

**Tip**: When solving circle-related problems, always check whether you're working with degrees or radians, as the formula might change depending on the unit of the angle.

Follow the steps to find the area of the shaded region. Use the formula below to find the area of the whole sector. The angle of the sector is 129°, and the radius is 8 cm. Round your answer to four decimal places.

Learn how to find the area of a sector in a circle with a 129° angle and an 8 cm radius. Using the formula for the sector area, this problem provides a step-by-step guide, rounding the answer to four decimal places. Suitable for students in Grades 6-8.

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