How many radians is ?
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
1. Measuring Angles
Radians
Multiple Choice
When a particle completes one full revolution in circular motion, how many radians of angle does it cover?
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B
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D
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Verified step by step guidance1
Recall that one full revolution in circular motion corresponds to a complete circle, which is 360 degrees.
Understand that radians are another way to measure angles, based on the radius of the circle and the length of the arc.
Use the conversion formula between degrees and radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Apply this formula to 360 degrees: \(360 \times \frac{\pi}{180}\).
Simplify the expression to find the angle in radians covered in one full revolution.
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