Converting Between Radians and Degrees

This video tutorial provides a comprehensive guide to converting between radians and degrees. It begins with a review of the relationship between radians and degrees, using circle revolutions as a basis. The tutorial then introduces formulas for conversion and demonstrates step-by-step examples of converting both degrees to radians and radians to degrees. Additional examples are provided to reinforce understanding and make the conversion process intuitive.

How many radians are in one complete circle revolution?

• 180 radians

• 360 radians

• π radians

• 2π radians

What is the degree equivalent of π radians?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is the degree equivalent for one radian?

• 180/π degrees

• 360 degrees

• π/180 degrees

• 90 degrees

What is the radian measure equivalent to 180 degrees?

• π radians

• 2π radians

• π/2 radians

• π/4 radians

Convert 30 degrees to radians.

• π/6 radians

• π/4 radians

• π/3 radians

• π/2 radians

How do you convert degrees to radians?

• Multiply by π and divide by 180

• No conversion is necessary

• Multiply by 180 and divide by π

• Divide by π and multiply by 180

How many degrees are there in π/3 radians?

• 60 degrees

• 45 degrees

• 90 degrees

• 120 degrees

Convert 45 degrees to radians.

• π/3 radians

• π/6 radians

• π/2 radians

• π/4 radians

What is the radian measure of a 90-degree angle?

• π/2 radians

• π/3 radians

• π radians

• π/4 radians

Convert -π/2 radians to degrees.

• -45 degrees

• -90 degrees

• -180 degrees

• -360 degrees