# Unit Circle Chart

This figure illustrates the unit circle chart measured in radians and annotated using the circle constant (tau), where . The unit circle chart is a collection of special angles and their corresponding points on the circle of radius . The chart is a combination of two groups of special angles. 1) The angles formed from dividing the circle into equal parts as shown in this figure. 2) The angles formed from dividing the circle into equal parts as shown in this figure. See also the related figures:

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The unit circle chart shows the position of the points along the circle that are formed by dividing the circle into eight and twelve parts.

Radians are a unit that measure angle using the radius of a circle. One radian is equal to the amount of rotation required to travel the length of one radius along the circumference of the circle.

The circle constant τ (tau) is a geometric constant approximately equal to 6.283. The numeric value is defined as the length of any circle's circumference divided by the length of its radius.

The unit circle is a circle of radius one placed at the origin of the coordinate system. This article discusses how the unit circle represents the output of the trigonometric functions for all real numbers.

The Unit Circle Divided by 8 measured using the circle constant.

The Unit Circle Divided by 12 measured using the circle constant.

The unit circle chart shows the positions of the points along the unit circle that are formed by dividing the circle into eight and twelve parts respectively. This figure is measured using radians and degrees.

This figure illustrates the unit circle chart measured in degrees which shows the positions of the points along the unit circle that are formed by dividing the circle into eight and twelve parts respectively.