1. **Problem:** Find the length of arc EF in a circle with radius 12 m and central angle 120°.
2. **Formula:** The length of an arc $L$ is given by
$$L = r \theta$$
where $r$ is the radius and $\theta$ is the central angle in radians.
3. **Convert angle to radians:**
$$120^\circ = 120 \times \frac{\pi}{180} = \frac{2\pi}{3}$$
4. **Calculate arc length:**
$$L = 12 \times \frac{2\pi}{3} = \cancel{12} \times \frac{2\pi}{\cancel{3}} \times 4 = 8\pi$$
5. **Answer:** The length of arc EF is $8\pi$ meters.
Arc Length Ef A70Eb7
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