How to Calculate the Radius of a Circle from Two Points

Learn how to determine the radius of a circle using two points with our simple step-by-step guide.

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To find the radius from two points on a circle, first determine the distance between the two points** (chord length). Locate the midpoint of this line segment. Then, calculate the perpendicular bisector of the chord. The distance from this midpoint to either point is half the length of the chord. Use the perpendicular bisector to find the circle’s center, and then the distance from this center to any point on the circle is the radius.

FAQs & Answers

  1. What is the formula for calculating the radius of a circle? The radius can be calculated using the formula r = d/2, where d is the distance from the circle's center to any point on the circumference.
  2. How do I find the center of a circle when I have two points? To find the center, locate the midpoint of the chord formed by the two points and then construct the perpendicular bisector of that chord.
  3. Can I find the radius from only one point on the circle? No, you need at least two points to accurately determine the radius, as it relies on measuring distances to find the center.
  4. What is a chord in a circle? A chord is a line segment whose endpoints lie on the circle. The length of the chord is important for calculating the radius.

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