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

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

Options:

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

Correct Answer: 6

Solution: 

Area = πr^2 => 36π = πr^2 => r^2 = 36 => r = 6.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If the area of a circle is 36π, what is the radius?
  • Step 1: Write down the formula for the area of a circle, which is Area = πr^2.
  • Step 2: We know the area is 36π, so we can set up the equation: 36π = πr^2.
  • Step 3: To simplify, divide both sides of the equation by π. This gives us: 36 = r^2.
  • Step 4: Now, we need to find the radius (r). To do this, take the square root of both sides: r = √36.
  • Step 5: Calculate the square root of 36, which is 6. So, r = 6.
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.
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