The circumference of a circle exceeds the diameter by 16.8 cm. What is the diameter of the circle? (Take \pi=\frac{22}{7})

  1. A. 6.24 cm
  2. B. 6.42 cm
  3. C. 7.64 cm
  4. D. 7.84 cm

Correct Answer: D. 7.84 cm

Explanation

Given \pi d - d = 16.8. So, d(\frac{22}{7} - 1) = 16.8 \implies d(\frac{15}{7}) = 16.8. Solving for d gives d = \frac{16.8 \times 7}{15} = 1.12 \times 7 = 7.84 cm.

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