Teaching trigonometry means teaching the unit circle — and every class needs it in a slightly different form. Some days you want a fully labeled reference sheet. Other days you need a blank version students fill in themselves. This free unit circle generator lets you build exactly the worksheet your lesson calls for, then download it as a print-ready PDF, a high-resolution PNG, or a scalable SVG file.
Unit Circle Generator
Design · Customize · Download
0, 90, 180, 270
30, 150, 210, 330
45, 135, 225, 315
60, 120, 240, 300
What You Can Customize
The unit circle generator gives you control over every layer of the diagram. You choose which angle families appear on the circle — the quadrant axes (0°, 90°, 180°, 270°), the 30° family, the 45° family, and the 60° family can each be toggled on or off independently. Teaching only the 45-45-90 triangle today? Turn off the rest and keep the diagram clean.
For each set of angles, you decide what labels appear at the point on the circle:
- Degree values — shown in standard degree notation (30°, 45°, 60°, etc.)
- Radian values — displayed as proper fractions with a real fraction bar (π/6, π/4, π/3 — not typed slash notation)
- Coordinates — displayed as (cos θ, sin θ) using exact values like (√3/2, 1/2)
Any of these three label types can be set to blank, which converts the label to a fill-in line. This makes it easy to generate a quiz version of any configuration without redesigning anything — just check the blank option and download.
Built-In Reference Box
Below the circle, an optional reference panel displays the key trigonometric relationships your students need: sin θ = y, cos θ = x, tan θ = y/x, the Pythagorean identity sin²θ + cos²θ = 1, the ASTC quadrant sign chart, reciprocal identities, and the side ratios for the 30-60-90 and 45-45-90 special right triangles. Each item is individually toggleable so you include only what is relevant to your current unit.
Color Controls
Every element of the diagram has its own color picker. Degrees, radians, and coordinates each get a separate color — a technique that helps students visually separate the three types of information at a glance. You can also adjust the color of the circle, the axes, and the angle lines independently.
Three Download Formats
When your unit circle is ready, download it in the format that works for your workflow:
- PDF — letter-size (8.5 × 11 in.), with a name line, date line, and richineducation.com branding. Ready to print and hand out.
- PNG — high-resolution image, useful for inserting into Google Slides, Google Classroom assignments, or digital worksheets.
- SVG — fully scalable vector format. The diagram stays sharp at any size, making it ideal for projecting on a screen or editing in any graphics application.
Happy teaching.
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