Converting General Circle Equations to Standard Form

Converting General Circle Equations to Standard Form

Explore how the general equation of a circle can be rewritten in standard form to reveal its center and radius.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Pregunta oberta 1

What are the restrictions on so that an equation of the form is a circle?

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Pregunta oberta 2

Find the center and the radius r of the circle in terms of , , and by completing the square for the general equation .

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Pregunta oberta 3

Looking at the general form , what condition on the parameters , , and must be met for the equation to represent a circle?

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