Polar Equation/Examples/Circle

Example of Polar Equation

The polar equation:

$r = 2 \cos \theta$

defines the locus of the circle whose Cartesian equation is:

$\paren {x - 1}^2 + y^2 = 1$

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): polar equation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): polar equation