Areas Related to Circles · Class 10 · CBSE Mathematics

If the circumference and the area of a circle are numerically equal, then the radius of the circle is:

Practice question from Areas Related to Circles (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-27934B

If the circumference and the area of a circle are numerically equal, then the radius of the circle is:

  1. A.2 unitsCorrect answer
  2. B.pi units
  3. C.4 units
  4. D.7 units

Solution

Given that circumference = area, we have 2πr=πr22\pi r = \pi r^2. Dividing both sides by πr\pi r (since r≠0r \neq 0), we get 2=r2 = r. Thus, the radius is 2 units.

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