Answer
The polar equation for the curve is represented by: $x^2 + y^2 = 2cx$ is $r = 2c \space cos(\theta)$
Work Step by Step
Knowing that $r^2 = x^2 + y^2$ and $x = rcos(\theta)$, we can substitute these expressions into the equation:
$x^2 + y^2 = 2cx$
$r^2 = 2 c (rcos(\theta))$
Dividing both sides by "r":
$r = 2c \space cos(\theta)$