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If the radius of a circle is doubled, how does the area of the circle change?

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Question: If the radius of a circle is doubled, how does the area of the circle change?

Options:

  1. It remains the same
  2. It doubles
  3. It triples
  4. It quadruples

Correct Answer: It quadruples

Solution: 

The area of a circle is given by A = πr². If the radius is doubled (r\' = 2r), the new area A\' = π(2r)² = 4πr², which is four times the original area.

If the radius of a circle is doubled, how does the area of the circle change?

Practice Questions

Q1
If the radius of a circle is doubled, how does the area of the circle change?
  1. It remains the same
  2. It doubles
  3. It triples
  4. It quadruples

Questions & Step-by-Step Solutions

If the radius of a circle is doubled, how does the area of the circle change?
  • Area of a Circle – Understanding the formula A = πr² and how changes in the radius affect the area.
  • Scaling Properties – Recognizing how geometric properties scale with changes in dimensions, specifically the square of the scaling factor.
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