Angle measures can be given in degrees or radians. Degrees are more common in everyday use, while radians are used frequently in mathematics and physics. A full circle is 360 degrees or radians. Therefore, one degree equals radians, and one radian equals degrees.
Converting between degrees and radians is straightforward:
- To convert degrees to radians, multiply the degree measure by .
- To convert radians to degrees, multiply the radian measure by .
For example:
Understanding these conversions and measures assists in solving trigonometric identities and other mathematical problems.