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To determine the arc length \( AB \) for the given circle, we can use the formula:

\[
\text{Arc Length} = \frac{\theta}{360^\circ} \times 2\pi r
\]

where:
- \( \theta \) is the central angle in degrees (124°),
- \( r \) is the radius of the circle (9 m),
- and \( \pi \approx 3.14159 \).

### Step-by-Step Calculation

1. Substitute the given values:
   \[
   \text{Arc Length} = \frac{124}{360} \times 2 \times \pi \times 9
   \]

2. Simplify the fraction:
   \[
   \text{Arc Length} = \frac{124}{360} \times 18\pi
   \]

3. Calculate \( \frac{124}{360} \) (which simplifies to approximately 0.3444) and then multiply by \( 18\pi \):
   \[
   \text{Arc Length} \approx 0.3444 \times 18 \times 3.14159
   \]

4. Multiply through to find the arc length:
   \[
   \text{Arc Length} \approx 19.47 \text{ meters}
   \]

### Final Answer
The arc length \( AB \) is approximately **19.47 meters**.

Would you like a further breakdown of the calculation or have additional questions?

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Here are five related questions for further practice:

1. How would the arc length change if the radius were increased to 12 meters?
2. What is the formula for calculating the arc length when the angle is in radians?
3. If the central angle were 90°, what would the arc length be for the same radius?
4. How does the arc length change if the central angle is doubled?
5. What would the length of the entire circumference of this circle be?

**Tip:** When working with circles, remember that the arc length is directly proportional to both the radius and the central angle.

Determine the arc length of AB. Give your answer to two decimal places.

Learn how to calculate the arc length of a circle segment with a central angle of 124° and a radius of 9 meters. This geometry problem covers key concepts such as arc length formula and angle-based proportion calculations. Suitable for Grades 8-10 students.

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