A pendulum swings through an angle of 30° and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take \pi = 22/7)

  1. A. 90 cm
  2. B. 100 cm
  3. C. 105 cm
  4. D. 110 cm

Correct Answer: C. 105 cm

Explanation

Arc length = r\theta, where \theta is in radians. 55 = r \times (30 \times \frac{\pi}{180}). Using \pi = \frac{22}{7}, we get r = \frac{55 \times 180}{30 \times \frac{22}{7}} = 105 cm.

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