Converting Degrees to Radians

The video tutorial explains how to convert angles from degrees to radians. It begins by discussing the relationship between degrees and radians, using the circle's circumference to illustrate the concept. The tutorial then provides a step-by-step guide to converting 150 degrees and -45 degrees into radians, demonstrating the calculations and simplifications involved.

How many degrees are in a full circle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

What is the relationship between degrees and radians?

• 360 degrees equals pi radians

• 360 degrees equals 2 pi radians

• 180 degrees equals 2 pi radians

• 180 degrees equals pi radians

What is the circumference of a circle in terms of its radius?

• 2 pi times the radius

• 4 pi times the radius

• pi times the radius

• pi squared times the radius

If pi radians equal 180 degrees, how many radians are in 90 degrees?

• pi/2 radians

• pi/4 radians

• pi radians

• 2 pi radians

What is the significance of the relationship pi radians = 180 degrees?

• It is used to find the diameter of a circle

• It is used to calculate the area of a circle

• It defines the circumference of a circle

• It allows conversion between radians and degrees

What is the formula to convert degrees to radians?

• Multiply degrees by 2 pi

• Multiply degrees by 180/pi

• Multiply degrees by pi/180

• Multiply degrees by pi

What is 150 degrees in radians?

• 5 pi/6 radians

• pi/3 radians

• pi/2 radians

• 2 pi/3 radians

What is the first step in converting -45 degrees to radians?

• Subtract 180 degrees

• Add 360 degrees

• Multiply by 180/pi

• Multiply by pi/180

What is -45 degrees in radians after simplification?

• -pi/6 radians

• -pi/2 radians

• -pi/3 radians

• -pi/4 radians

Which of the following is a correct simplification of -45 pi/180?

• -pi/2

• -pi/6

• -pi/4

• -pi/3