Angle Measure

This Demonstration shows the measure of an angle in degrees and radians.

THINGS TO TRY

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DETAILS

In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn. The length of the arc s is then divided by the radius of the circle r, and possibly multiplied by a scaling constant k (which depends on the units of measurement that are chosen): θ=(s/r)k.

The value of θ thus defined is independent of the size of the circle: if the length of the radius is changed then the arc length changes in the same proportion, so the ratio s/r is unaltered.

Angles are usually measured in units of degrees or radians.

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Contributed by: Frederick Wu

Additional contributions by: Bing Ye

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