8 The equation of a curve is \(x ^ { 2 } + y ^ { 2 } - x = \sqrt { x ^ { 2 } + y ^ { 2 } }\).
- Find the polar equation of this curve in the form \(r = \mathrm { f } ( \theta )\).
- Sketch the curve.
- The line \(x + 2 y = 2\) divides the region enclosed by the curve into two parts. Find the ratio of the two areas.