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What is the angle at the centre of the sector?

To calculate the angle at the center of the sector, we can use the formula for the area of a sector or the relationship between the arc length and the radius. However, since we have a clear visual of the geometric configuration, we can determine the angle based on the sector's information.

### Known dataTo calculate the angle at the center of the sector, we can use the formula for the area of a sector or the relationship between the arc length and the radius. However, since we have a clear visual of the geometric configuration, we can determine the angle based on the sector's information.

### Known 
- The radius of the circle is 50 m.
- We are dealing with a sector of a circle.

From this, let's proceed by calculating the angle. Based on the layout of the image, it appears that the green area (sector) represents a fractional portion of the full circle. Let me first process the details more carefully. I'll extract the geometry and then proceed with the calculations.The angle at the center of the sector is 90 degrees, assuming the green area represents one-quarter of the circle.

Would you like more details, or do you have any questions? Here are some related questions you might find helpful:

1. How do you calculate the area of the sector using the angle?
2. How does the angle change if the sector size increases or decreases?
3. What is the relationship between the arc length and the central angle?
4. How can you calculate the arc length given the radius and the angle?
5. How does changing the radius affect the sector's area and arc length?

**Tip:** The central angle of a sector is directly proportional to the fraction of the circle the sector represents.

Understand how to calculate the angle at the center of a sector using key geometry concepts and sector angle formulas. This problem is suitable for students in Grades 8-10.

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