Converting Degrees to Radians

This video tutorial explains how to convert degrees to radians using the unit circle. It introduces the formula degree over 1 multiplied by pi over 180, explaining why pi over 180 is used. The tutorial provides a detailed example of converting 30 degrees to radians, demonstrating the reduction process. A summary of the conversion process is given, followed by another example converting 60 degrees to radians. The video aims to help viewers understand and apply the conversion formula effectively.

What is the basic formula for converting degrees to radians?

• Degree times 180 over pi

• Degree over 180 times pi over 1

• Degree times pi over 360

• Degree over 1 times pi over 180

Why is pi over 180 used in the conversion formula?

• Because it is easier to remember

• Because it is a standard unit

• Because it simplifies the calculation

• Because it is the value of one

How do you simplify the conversion of 30° to radians?

• By dividing 30 by 180 and multiplying by pi

• By multiplying 30 by 180 and dividing by pi

• By adding 30 to 180 and multiplying by pi

• By subtracting 30 from 180 and dividing by pi

What is the radian value of a 30° angle after simplification?

• Pi over 4

• Pi over 2

• Pi over 3

• Pi over 6

What is the first step in converting 60° to radians?

• Add 60 to 180 and multiply by pi

• Multiply 60 by 180 and divide by pi

• Divide 60 by 180 and multiply by pi

• Subtract 60 from 180 and divide by pi

What is the radian value of a 60° angle after simplification?

• Pi over 4

• Pi over 6

• Pi over 2

• Pi over 3