https://file.aiquickdraw.com/mathbot/file/17268631068666poopwhq.jpg

To find the area of the sector shown in the image, we use the formula:

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

### Given:
- Angle of the sector = \( 129^\circ \)
- Radius (\(r\)) = 8 cm

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

Would you like further details or have any questions?

Here are some related questions for further exploration:
1. How would you calculate the area of the shaded region if you were given additional data?
2. What is the formula to calculate the arc length of a sector?
3. How can you find the perimeter of the sector, including the straight lines?
4. What would the area be if the angle of the sector was halved?
5. How does changing the radius affect the sector area?

**Tip:** Always remember to express the angle in radians if you're using a formula that requires it, particularly in trigonometry.

Follow the steps to find the area of the shaded region. First, 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.

Learn how to calculate the area of a sector with a 129° angle and a radius of 8 cm. The problem demonstrates how to use the formula for sector area: (angle of sector / 360) * π * r^2. The result is approximately 72.0472 cm², rounded to four decimal places.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation