polar graphing calculator

Radius Equation r(t)

Use JavaScript Math syntax. Variable is 't' (theta). Example: 2 * Math.cos(t)

Min Angle (radians)

Max Angle (radians)

Step Size

Understanding Polar Coordinates

Unlike the standard Cartesian coordinate system which uses horizontal (x) and vertical (y) distances to locate a point, the Polar Coordinate system defines a point based on its distance from a central origin and its angle from a reference direction (usually the positive x-axis).

How to Use This Calculator

To plot a graph, enter the mathematical formula for the radius r as a function of the angle t (theta). The calculator supports standard JavaScript Math functions, allowing for complex trigonometric plotting.

For example, to plot a circle with radius 2, you would simply input 2. To plot a flower-like rose curve, you might use Math.sin(4 * t).

Common Polar Equations

Circle: r = a (where 'a' is the radius)

Rose Curve: r = a * sin(k * t) (If k is odd, k petals; if k is even, 2k petals)

Archimedean Spiral: r = a + b * t

Cardioid: r = a * (1 - cos(t))