What is the relationship between radians and degrees for a full circle?
Understand the Problem
The question is asking about the relationship between radians and degrees in the context of a full circle. It is testing knowledge of the conversion formulas between the two units of measurement for angles.
Answer
360 degrees equals 2π radians.
The final answer is that 360 degrees is equivalent to 2π radians.
Answer for screen readers
The final answer is that 360 degrees is equivalent to 2π radians.
More Information
Radians and degrees both measure angles, but radians relate angle size to the radius of a circle while degrees are based on dividing the circle into 360 parts.
Tips
A common mistake is forgetting to multiply by π when converting between degrees and radians.
Sources
- Degree/Radian Circle - CSI Math - math.csi.cuny.edu
- Converting Between Degrees and Radians - Lumen Learning - courses.lumenlearning.com
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