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If a circle has an area of 36π cm², what is the radius of the circle?

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Question: If a circle has an area of 36π cm², what is the radius of the circle?

Options:

  1. 6 cm
  2. 12 cm
  3. 9 cm
  4. 18 cm

Correct Answer: 6 cm

Solution: 

Area = πr², so 36π = πr², r² = 36, r = 6 cm.

If a circle has an area of 36π cm², what is the radius of the circle?

Practice Questions

Q1
If a circle has an area of 36π cm², what is the radius of the circle?
  1. 6 cm
  2. 12 cm
  3. 9 cm
  4. 18 cm

Questions & Step-by-Step Solutions

If a circle has an area of 36π cm², what is the radius of the circle?
  • Step 1: Write down the formula for the area of a circle, which is Area = πr².
  • Step 2: Substitute the given area (36π cm²) into the formula: 36π = πr².
  • Step 3: To simplify, divide both sides of the equation by π: 36 = r².
  • Step 4: Now, to find the radius (r), take the square root of both sides: r = √36.
  • Step 5: Calculate the square root of 36, which is 6. So, r = 6 cm.
  • Area of a Circle – Understanding the formula for the area of a circle (A = πr²) and how to manipulate it to find the radius.
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