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.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
What are the restrictions on so that an equation of the form is a circle?
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Open-ended question 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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Open-ended question 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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Prerequisite Resources
