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A particle is moving on the perimeter of a circle with radius \( r=20 \) with angular speed of \( \frac{\pi}{6} \) radians per second. After completing 6 full rotations, the particle traveled for 2 more seconds and stopped. What is the length of the total distance the particle traveled? a) \( 240 \pi \) b) \( \frac{740 \pi}{3} \) c) \( \frac{80 \pi}{3} \) d) \( \frac{140 \pi}{3} \) c) \( \frac{380 \pi}{3} \) f) None of the above.

Answer: Given data : A particle is moving on the perimeter of a circle wit

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