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Radian Measure
Radian Measure
Radian: The radian measure of an angle as the length of the arc on the unit circle subtended by the angle
Radian: The radian measure of an angle as the length of the arc on the unit circle subtended by the angle
Positive Angles
Positive Angles
Angles measured counterclockwise are positive.
Radians measured counterclockwise are positive.
Negative Angles
Negative Angles
Angles measured clockwise are negative.
Radians measured clockwise are negative.
Converting Degrees to Radians
Converting Degrees to Radians
To convert radians to degrees and vice versa:
- Know to which unit you are converting to
- Multiply by the proper conversion factor
- Simplify and reduce, if possible
Convert to Radians
Convert to Radians
Because we are converting degrees to radians, we have to multiply the degrees by pi/180.
Write the operation as one fraction.
Reduce the fraction to lowest term possible
Convert to degrees
Convert to degrees
Because we are converting radians to degrees, we have to multiply the degrees by 180/1pi.
Write the operation as one fraction.
Reduce the fraction to lowest term possible
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