How to Calculate the Radius of a Circle from Two Points
Learn how to find the radius of a circle using two points with our easy step-by-step guide.
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To find the radius of a circle given two points, first determine if one is the center (labelled as (h, k)) and the other lies on the circle (labelled as (x, y)). Use the distance formula: r = √((x - h)² + (y - k)²). This distance is the radius. If neither point is the center, more info is needed.
FAQs & Answers
- What is the formula for finding the radius of a circle? The formula to find the radius is r = √((x - h)² + (y - k)²), where (h, k) is the center point of the circle.
- Can I find the radius without knowing the center point? No, to find the radius of a circle, you need the coordinates of the center point or additional information about the points.
- What if the points do not define a circle? If neither point is the center or if only one point is given, additional information will be needed to determine the radius.
- How do I visualize the radius of a circle? You can visualize the radius by drawing a circle and noting the distance from the center point to any point on the circumference.