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Radians

10 videos
3 skills
Most people know that you can measure angles with degrees, but only exceptionally worldly people know that radians can be an exciting alternative. As you'll see, degrees are somewhat arbitrary (if we lived on a planet that took 600 days to orbit its star, we'd probably have 600 degrees in a full revolution). Radians are pure. Seriously, they are measuring the angle in terms of how long the arc that subtends them is (measured in radiuseseses). If that makes no sense, imagine measuring a bridge with car lengths. If that still doesn't make sense, watch this tutorial!

Introduction to radians

VIDEO 10:51 minutes
Understanding the definition and motivation for radians and the relationship between radians and degrees

Radians on the unit circle

PRACTICE PROBLEMS
A radian is a unit of angle measure, and it has a special relationship with arc length.

Example: Radian measure and arc length

VIDEO 3:30 minutes
Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc.

Radians and arc length

PRACTICE PROBLEMS

Example: Converting degrees to radians

VIDEO 7:02 minutes
Worked example to help understand how we convert radians to degrees

Example: Converting radians to degrees

VIDEO 3:20 minutes
Worked example showing how to convert radians to degrees

Radian and degree conversion practice

VIDEO 7:12 minutes
A little practice converting between radians and degrees and vice versa

Degrees to radians

PRACTICE PROBLEMS

Radians and degrees

VIDEO 9:55 minutes
What a radian is. Converting radians to degrees and vice versa.