Printable Graph Paper

Polar Graph Paper

Concentric circles crossed by radial spokes, so a point is an angle and a distance: the natural grid for anything that goes round.

210 × 297 mm
Download PDF
Download PDF

How to print Polar Graph Paper

  1. Pick the paper

    Choose Polar Graph Paper from the list. It opens with the usual size already set.

    Polar Graph Paper selected in the list of paper types
  2. Set it up

    Pick the paper size, the grid and the orientation. Customize holds colours, margins and more.

    Settings for Polar Graph Paper: paper size, grid and orientation
  3. Download or print

    Download the ready PDF, or print straight from the page at 100% scale.

    Polar Graph Paper preview with the Download PDF and Print buttons

When polar beats Cartesian

Some curves are painful in x and y and trivial in r and θ. A circle centred on the origin is r = a. A spiral is r = aθ. A four-petalled rose is r = a·cos(2θ). Plotting any of those on squared paper means computing a table of coordinates; on polar paper you read them straight off.

The same applies to measured data with a direction in it — an antenna pattern, a loudspeaker's dispersion, wind roses, or the field of view of an instrument.

Rings and spokes

The spoke spacing sets your angular resolution and the ring count sets your radial resolution; the two are independent.

  • Polar function plotting — roses, cardioids, limaçons and spirals.
  • Antenna radiation patterns — the standard way to present them.
  • Loudspeaker dispersion — off-axis response by angle.
  • Wind and current roses — direction plus magnitude in one picture.
  • Navigation and bearing work — 15° or 30° spokes and a compass in your head.

Every sheet here is free, adjustable and prints at exact scale.

Questions

What spoke spacing should I use?

15° gives 24 spokes, which is the usual compromise between resolution and clutter. Drop to 5° for detailed plotting, or go up to 30° or 45° for quick sketches.

Are the degree labels printed on the PDF?

Yes, if Degree labels is on. They are drawn as vector text just outside the outer ring, so they stay crisp at any print size.

How many rings do I need?

10 is a good default because it makes each ring a tenth of the radius, so reading a value off is straightforward arithmetic.