Unrolling the Circle

Radian measure connects angle size to arc length. On a unit circle (radius 1), an angle of radians creates an arc length of exactly .

Arc =

Coordinates on the Unit Circle

The coordinates of any point on the unit circle are .

Target: Find a point where

Exact Values

Some angles have exact, well-known values. Tap the points on the circle to select them.

Select all angles where

Beyond 360°

Angles can wrap around the circle multiple times, or go backwards (negative angles).

Target: Wind the point to exactly
Current:

Mastered!

You've successfully mapped the unit circle, mastered exact values, and conquered coterminal angles!

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