How to Calculate the Radius of a Circle Using Points

Learn how to determine the radius of a circle with given points using the distance formula.

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Finding the radius of a circle involves using the distance formula. If you have the center point (h, k) and a point on the circle (x, y), use the formula: radius = sqrt((x - h)^2 + (y - k)^2). This calculates the Euclidean distance between the center and the point, giving you the radius.

FAQs & Answers

  1. What is the distance formula? The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
  2. How do I find the center of a circle? The center of a circle can be determined if you have the equation in the standard form, or by finding the midpoint of points on the diameter.
  3. What are the properties of a circle? A circle has consistent radius from its center to every point on the circumference and is defined by properties like circumference and area.

Watch More

For more insights on geometry and math equations, check out our videos on calculating circumference, area of a circle, and understanding Euclidean geometry.

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