Convert Between Radians and Degrees

This lesson covers converting between degree and radian measures using a conversion ratio. It explains that pi radians equal 180 degrees and provides formulas for conversion. Examples demonstrate how to convert degrees to radians and vice versa, emphasizing the importance of rounding and exact answers. The lesson concludes with a summary of the conversion process.

What is the equivalent of pi radians in degrees?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

How do you convert degrees to radians?

• Divide by 180

• Divide by pi

• Multiply by pi over 180

• Multiply by 180 over pi

If an angle is given without a pi symbol, what should you check to determine if it's in degrees?

• The presence of a fraction

• The angle's color

• The degree symbol

• The angle's size

What is the result of converting 5 pi over 12 radians to degrees?

• 60 degrees

• 75 degrees

• 90 degrees

• 105 degrees

Which operation is used to convert radians to degrees?

• Multiply by 180 over pi

• Multiply by pi over 180

• Divide by 180

• Add 180