Equation of a Circle - Concept

Concept Concept (1)

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A circle can't be represented by a function, as proved by the vertical line test. However, we can obtain an equation that describes the full circle by using the distance formula between the given center coordinates and any point along the circumference of the circle. Once we have derived this equation of a circle, we can apply it to any other circle you may come across in a coordinate plane.

Sample Sample Problems (3)

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Equation of a Circle - Problem 1
Problem 1
How to write the equation of a circle given the center and a point on the circle.
Equation of a Circle - Problem 2
Problem 2
How to identify the center and radius of a circle given an equation.
Equation of a Circle - Problem 3
Problem 3
How to write the equation of a circle given the center and a point on the circle.