Converting Between Degrees and Radians

The video tutorial explains how to convert angles between degrees and radians. It demonstrates the conversion of 30 degrees to radians, resulting in pi/6 radians, and 60 degrees to radians, resulting in pi/3 radians. The tutorial also covers converting radians to degrees, using examples like pi/4 radians to 45 degrees and pi/2 radians to 90 degrees. The process involves using the relationship between degrees and radians, where 180 degrees equals pi radians, to cancel out units and simplify the calculations.

What is the first step in converting 30 degrees to radians?

• Set up a ratio with 180 degrees and pi radians

• Divide by 180

• Multiply by pi

• Subtract 30 from 180

What is the final result when converting 30 degrees to radians?

• pi/4

• pi/6

• pi/3

• pi/2

When converting 60 degrees to radians, what do you place in the denominator to cancel out degrees?

• 30 degrees

• 60 degrees

• pi radians

• 180 degrees

What is the simplified result of converting 60 degrees to radians?

• pi/3

• pi/2

• pi/4

• pi/6

To convert pi/4 radians to degrees, what do you place in the numerator?

• pi radians

• 180 degrees

• 60 degrees

• 30 degrees

What is the degree measure of pi/4 radians?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

When converting pi/2 radians to degrees, what happens to the pi terms?

• They are subtracted

• They are added

• They are multiplied

• They cancel out

What is the degree measure of pi/2 radians?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

What is the general method to convert degrees to radians?

• Multiply by pi and divide by 180

• Multiply by 180 and divide by pi

• Subtract pi from 180

• Add pi and 180

What is the general method to convert radians to degrees?

• Multiply by pi and divide by 180

• Multiply by 180 and divide by pi

• Add pi and 180

• Subtract pi from 180