Description | Line passing through the pole making an angle α with the polar axis | Vertical line | Horizontal line |
Rectangular equation | y=(tanα)x | x=a | y=b |
Polar equation | θ=α | rcosθ=a | rsinθ=b |
Typical graph | ![]() | ![]() | ![]() |
Description | Circle, center at the pole, radius a | Circle, passing through the pole, tangent to the line θ=π2, center on the polar axis, radius a | Circle, passing through the pole, tangent to the polar axis, center on the line θ=π2, radius a |
Rectangular equation | x2+y2=a2,a>0 | x2+y2=±2ax,a>0 | x2+y2=±2ay,a>0 |
Polar equation | r=a,a>0 | r=±2acosθ,a>0 | r=±2asinθ,a>0 |
Typical graph | ![]() | ![]() | ![]() |