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Home/Mathematics/Coordinate Geometry/Circle from Three Points Calculator
Math CalculatorCoordinate Geometry

Circle from Three Points Calculator

Find the equation of a circle that passes through three given non-collinear points. This calculator determines the center and radius of the circumscribed circle.

Updated 2025-01-155 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

x-coordinate of the first point

y-coordinate of the first point

x-coordinate of the second point

y-coordinate of the second point

x-coordinate of the third point

y-coordinate of the third point

Formula & Methodology

How this calculator works

(x - h)² + (y - k)² = r²

Solving the system of three equations formed by substituting each point into the circle equation yields the center (h, k) and radius r. The three points must not be collinear.

Frequently Asked Questions

Common questions about this calculator

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