Polar Grapher
A polar curve gives the radius r as a function of the angle θ. Enter r(θ) and a θ range; the calculator samples the radius, converts each (r, θ) to Cartesian coordinates via (r·cos θ, r·sin θ), and plots the result.
Frequently asked questions
What can I use for the variable?
Either θ or theta — both are recognised. Internally the expression is rewritten in terms of t.
What does a negative radius mean?
Geometrically (r, θ) with negative r is the same as (|r|, θ + π) — the point on the opposite ray. The plotter handles this automatically.
Why an equal aspect ratio?
Polar curves are naturally rotation-symmetric. An equal aspect ratio keeps them so — a circle stays circular and rose petals stay symmetric.