Polar function
r = f(theta)
Polar plotting tool
Polar Graphing Tool
Plot polar functions interactively using theta as the angular variable.
Calculator
Enter a polar function
Use theta as the angular variable. For example: sin(3*theta), 2 + cos(theta), or theta/6.
Result
About this tool
How it works
The EngLab Polar Graphing Tool plots functions in polar form, where radius depends on angle. It is useful for exploring symmetry, cyclic patterns, antenna-style lobes, and mathematical curves.
Formulas
Polar form used
Angular range
0 <= theta <= 2pi
Worked example
Example inputs
Try sin(3*theta), 2 + cos(theta), theta/6, or sin(2*theta).
Guide
How to use this calculator
- Enter a polar function using theta as the variable.
- Click Plot Polar Graph to generate the chart.
- Use hover, zoom, pan, and PNG export for review or reporting.
Reference
What the results mean
theta
The angle used to sweep around the polar chart.
r
The radius calculated from the entered function.
Polar trace
A line drawn from radius values around the angular domain.
Assumptions and limits
Before using the chart
- The calculator evaluates r = f(theta) from 0 to 2pi.
- Large radius values can make smaller features harder to see.
- Use the plot for visual analysis and verify critical results separately.
FAQ
Polar Graphing Tool questions
Do I type theta or a symbol?
Use the word theta in the input field.
Can I use trigonometric functions?
Yes. Functions such as sin, cos, tan, sqrt, abs, log, and exp are supported.
Can I download the polar chart?
Yes. Use Download PNG to save the chart image.
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