Subjects mathematics

Arc Length Pendulum 224D52

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1. **Problem Statement:** Find the arc length described by a pendulum of length 14 cm swinging through an angle of 12°. 2. **Formula:** The arc length $s$ of a circle is given by $$s = r \theta$$ where $r$ is the radius (length of pendulum) and $\theta$ is the angle in radians. 3. **Convert angle to radians:** $$\theta = 12^\circ = 12 \times \frac{\pi}{180} = \frac{\pi}{15}$$ 4. **Calculate arc length:** $$s = 14 \times \frac{\pi}{15} = \frac{14\pi}{15}$$ 5. **Answer:** The arc length described by the pendulum is $\boxed{\frac{14\pi}{15}}$ cm. This corresponds to option (d).