How to Calculate the Diameter of a Circle from Its Area

Learn how to find a circle's diameter using its area with a simple formula. Quick and easy math concepts explained!

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To find the diameter of a circle if you know the area, use the formula A = πr² to first solve for the radius (r). Rearrange the formula to r = √(A/π), then double the radius to get the diameter: d = 2r.

FAQs & Answers

  1. What is the formula for the area of a circle? The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.
  2. How do you find the radius of a circle from its diameter? To find the radius, simply divide the diameter by 2. The formula is r = d/2.
  3. Can you calculate the area of a circle if you only know the diameter? Yes, you can calculate the area using the formula A = π(r²) after finding the radius from the diameter.
  4. What is the relationship between diameter and radius? The diameter is twice the length of the radius. The relation is d = 2r.