Equations of Circles
Derive the standard equation of a circle using the distance formula. Learn to convert between the standard form and general form of a circle's equation by completing the square.
About This Topic
Derive the standard equation of a circle using the distance formula. Learn to convert between the standard form and general form of a circle's equation by completing the square.
Key Questions
- Explain how the equation of a circle is derived from the Pythagorean Theorem or distance formula.
- Justify the process of completing the square to find the center and radius of a circle from its general equation.
- Analyze an equation to determine if it represents a circle, a point, or is impossible.
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Planning templates for Mathematics
5E Model
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