Skip to content
Allin
Sign up · Sign in

Interactive Unit Circle Visualizer

Drag around the circle and watch all six functions move with the angle, in degrees and radians. Special angles give their exact values — √3/2, not 0.866 — the quadrant signs are named, and tan at 90° says undefined instead of printing a huge number.

Related tools

All Trigonometry tools →
Tangent Line to Circle CalculatorThe tangent lines from a point to a circle, with the tangent length and a live diagram.Circumscribed Circle CalculatorCircumradius R = abc/4K, circumcentre and circumcircle of a triangle, from three sides or three vertices, with the figure drawn.Great Circle Distance CalculatorGreat-circle distance between two latitude/longitude points by the haversine formula, with initial and final bearing, the midpoint and a globe view.Inscribed Circle CalculatorInradius r = K/s, incentre, tangent points and incircle of a triangle, from three sides or three vertices, with the figure drawn.Unit Vector Calculatorv̂ = v / |v| in 2 to 10 dimensions, with |v| as a simplified radical, each component exact (−3,6,−2 gives −3/7, 6/7, −2/7), the share each component takes of |v|², the direction cosines and a unit-circle figure.Carry and borrow visualizerAdds or subtracts two whole numbers the way it is taught in school — set up in columns, digit by digit — and highlights every carry (addition) or borrow (subtraction) as it happens. A clear way to see the mechanic behind column arithmetic.Circle calculatorCompute the area, circumference and diameter of a circle from its radius.Circle sector area calculatorCompute the area and arc length of a circle sector from its radius and angle.

Interactive Unit Circle Visualizer is free to use as often as you like, directly from this page. It sits under Trigonometry in our catalogue, alongside Tangent Line to Circle Calculator and Circumscribed Circle Calculator.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What is Interactive Unit Circle Visualizer?

Drag around the circle and watch all six functions move with the angle, in degrees and radians. Special angles give their exact values — √3/2, not 0.866 — the quadrant signs are named, and tan at 90° says undefined instead of printing a huge number.

When would I actually use this?

Solving a triangle from what you can actually measure, converting between degrees and radians, and checking an identity before using it.

What is the most common mistake?

Leaving the calculator in the wrong angle mode. Degrees and radians differ by a factor of about 57, and the answer is wrong without ever looking wrong.

How is Interactive Unit Circle Visualizer different from Tangent Line to Circle Calculator?

They sit next to each other but answer different questions: Tangent Line to Circle Calculator is the one to open when you need it to the tangent lines from a point to a circle, with the tangent length and a live diagram. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Circumscribed Circle Calculator is the closest one after this: Circumradius R = abc/4K, circumcentre and circumcircle of a triangle, from three sides or three vertices, with the figure drawn.

What else is worth having open alongside it?

Great Circle Distance Calculator and Inscribed Circle Calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

The identities are the classical ones and the arithmetic is exact to double precision. The law-of-sines case with two sides and a non-included angle can have two valid triangles, and both are reported.

Further reading

All guides →
How-toCircle: Circumference and AreaCircumference is 2πr, area is πr². Here's how radius, diameter and π fit together, both formulas worked through, and how not to mix them up.ExplainerThe Pythagorean Theorem ExplainedIn a right triangle, a² + b² = c². Here's what the formula means, a worked example, how to find any side, and where it's used in real life.How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.ExplainerThe Ideal Gas Law Explained: PV = nRT, R in Every Unit, and Where It BreaksPV = nRT holds when the gas is dilute and far from condensing. The value of R depends entirely on the units you feed it, and the temperature is never in degrees Celsius.How-toHow to Compare Unit Prices and Find the Better DealTurn any package price into a price per pound or ounce so you can compare sizes and brands honestly, ignore the marketing, and spot the real bargain on the shelf.