# converting radians to degrees & degrees to radians, trig hw help | Summary and Q&A

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February 23, 2018
by
blackpenredpen

## TL;DR

This video provides examples and step-by-step instructions on how to convert between radians and degrees.

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### Q: How do you convert π/15 radians to degrees?

To convert π/15 radians to degrees, you can multiply by 180°/π, which cancels out the π and gives you a result of 12°.

### Q: What is the conversion formula for radians to degrees?

The conversion formula for radians to degrees is multiplying by 180°/π. This formula helps in converting the units and canceling out the π.

### Q: How do you convert -7π/3 radians to degrees?

To convert -7π/3 radians to degrees, you can multiply by 180°/π. After canceling out the π, you can simplify the multiplication to get -420° as the result.

### Q: How do you convert degrees back to radians?

To convert degrees back to radians, you need to multiply the degree value by the reciprocal of the conversion formula, which is π/180°.

## Summary & Key Takeaways

• The video demonstrates how to convert π/15 radians to degrees using the formula 180°/π.

• Another example is shown using -7π/3 radians, which is converted to -420° by multiplying by 180°/π.

• The video also explains how to convert degrees back to radians using the reciprocal of the conversion formula.