How to Calculate the Radius of a Circle from Diameter Endpoints
Learn how to find the radius of a circle using its diameter endpoints with a simple formula.
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To find the radius of a circle with diameter endpoints, first calculate the distance between the endpoints using the distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). The radius is then half of the diameter, so divide the result by 2. This gives you the radius of the circle.
FAQs & Answers
- What is the formula for finding the radius of a circle? The radius is half of the diameter, which can be found using the distance formula if the endpoints of the diameter are known.
- How do you apply the distance formula? The distance formula is used to calculate the distance between two points in a plane, expressed as d = √((x2 - x1)² + (y2 - y1)²).
- Can I find the radius with only one endpoint? No, you need both endpoints of the diameter to accurately calculate the radius.
- What is the difference between diameter and radius? The diameter is the full distance across the circle through its center, while the radius is half of that distance.