Equation of a Circle with Diameter Endpoints Calculator
MathFind the equation, center, and radius of a circle given the two endpoints of a diameter.
Radius
Half the distance between the two diameter endpoints
Center x-coordinate
4.0000
The x-coordinate of the circle center, the midpoint of the diameter
Center y-coordinate
6.0000
The y-coordinate of the circle center, the midpoint of the diameter
Standard equation
The standard form equation of the circle (x - 4)^2 + (y - 6)^2 = 25.0000
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Odeh Ahwal0people find this calculator helpful
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Saved
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Frequently Asked Questions
How do you find a circle equation from two diameter endpoints?
The center is the midpoint of the two endpoints, and the radius is half the distance between them, giving everything needed for the standard equation.
What is the equation of the circle with diameter endpoints (1, 2) and (7, 10)?
The center is at (4, 6) and the radius is 5, giving the standard equation (x - 4) squared plus (y - 6) squared equals 25.
Why is the radius exactly half the distance between the endpoints?
Since a diameter passes through the center and connects two points on the circle, its full length is twice the radius, so half that distance equals the radius.
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