How to Calculate the Radius of a Circle from a Given Point

Learn how to find the radius of a circle from a point using the distance formula. Simple and clear instructions provided!

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To find the radius of a circle given a point, use the distance formula if you have the center of the circle, too. The formula is:sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) is the center and (x2, y2) is the given point. The result is the radius.

FAQs & Answers

  1. What is the distance formula? The distance formula is sqrt((x2 - x1)^2 + (y2 - y1)^2), used to calculate the distance between two points.
  2. Why is finding the radius important? Finding the radius is crucial for many geometric calculations, including area, circumference, and understanding circle properties.
  3. Can you find the radius with only one point? Without the circle's center, you cannot determine the radius; you need both the center and a point on the circumference.