Graph Paper · No. 15
Polar Graph Paper
Polar coordinate graph paper for math and engineering
Choosing and using this paper
Choose the polar scale before adding points
The default Letter sheet has rings 5 mm apart and rays every 10°. The 5 mm is a physical distance on paper, not a mathematical radius value. Write the units per ring and the angle convention on each plot.
Match the spokes to the sample angles
A 10° grid includes 30°, 60° and 90°, but 45° falls halfway between spokes. For a table sampled every 15°, a 15° setting aligns those values directly. More spokes help precise placement but can obscure a thick pencil curve.
Make the largest radius fit
Count the usable rings on the printed sheet, then choose units per ring so the largest absolute radius fits inside them. If you have 12 usable rings and need radius 24, use 2 units per ring. Keep that scale fixed when comparing plots.
Check direction and print edges
For ordinary mathematical polar coordinates, mark 0° to the right and positive angles counterclockwise. A negative radius goes opposite its angle ray. The preset has zero page margins, so a home printer may clip the outer grid; keep essential data within the printable area.
1 ring = 1 unit · 0° points right · positive angles run counterclockwise
- A (2, 60°): follow the 60° ray to ring 2.
- B (3, 180°): move left along the horizontal axis to ring 3.
- C (−2, 60°): move 2 units opposite the 60° ray, to 240°. Do not place it on A.
Filled example for learning. The downloadable paper is blank; diagram proportions are illustrative.
Questions about this format
- Can I use radians on this grid?
Yes. Label angles consistently: 60° is π/3 and 180° is π. A degree-based spoke interval does not prevent radian labels.
- Should I connect the three example points?
No. They are separate point-location exercises. Connect points only when they belong to a specified curve or data series.
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