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

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

Options:

  1. It remains the same
  2. It doubles
  3. It is halved
  4. It is quartered

Correct Answer: It is quartered

Solution: 

If the radius is halved, the area becomes π(r/2)² = π(r²/4) = (1/4) * πr², which means the area is quartered.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If the radius of a circle is halved, how does the area change?
  • Area of a Circle – Understanding the formula for the area of a circle (A = πr²) and how changes in the radius affect the area.
  • Proportional Relationships – Recognizing how halving the radius leads to a quadratic change in area, specifically a reduction to one-fourth.
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