How to Calculate the Radius of a Circle from Its Area

Learn how to find the radius of a circle using its area with a simple formula. Easy steps and examples provided!

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To find the radius of a circle from its area, use the formula radius = √(area/π). For example, if the area is 50 square units, the radius would be √(50/π) ≈ 3.99 units. This formula derives from the standard area formula for a circle: Area = π * radius². By rearranging it, you can find the radius given the area.

FAQs & Answers

  1. What is the formula to calculate the radius of a circle from its area? The formula to calculate the radius from the area of a circle is radius = √(area/π).
  2. How do I find the radius if I know the area of the circle? To find the radius given the area, rearrange the area formula (Area = π * radius²) to get the radius = √(area/π).
  3. Can I use this formula for any area value? Yes, as long as the area value is a positive number, you can use the formula to find the radius of a circle.
  4. What is the value of π in the formula? The value of π (pi) is approximately 3.14159, which is a constant used in calculations involving circles.