Radian and Degree Conversions

This video tutorial covers the concept of radian measure, focusing on converting between degrees and radians. It explains the conversion factors for both directions and provides examples to illustrate the process. The tutorial also discusses special angles, reference angles, and how to handle negative angles in the radian measurement system.

What is the conversion factor for converting degrees to radians?

• 90/π

• π/90

• 180/π

• π/180

Why are radian measures often written without units?

• Radian measures are always whole numbers.

• Radian measures are less than one.

• Units are implied by the context.

• It's a mathematical convention.

What is 165 degrees in radians after simplification?

• 7π/6

• 11π/12

• π/3

• 5π/6

How do you convert 5π/6 radians to degrees?

• Multiply by 180/π

• Multiply by π/180

• Add 180

• Subtract 180

What is the approximate radian measure of 81.7 degrees?

• 1.43

• 1.57

• 1.33

• 1.67

What is 4 radians in degrees, rounded to the nearest tenth?

• 180.0°

• 200.0°

• 240.0°

• 229.2°

What is the radian equivalent of 30 degrees?

• π/4

• π/6

• π/3

• π/2

What is the reference angle in radians for 150 degrees?

• π/6

• π/4

• π/3

• π/2

What is the radian measure of 330 degrees in the fourth quadrant?

• π/6

• 5π/6

• 7π/6

• 11π/6

What is the radian equivalent of -45 degrees?

• -π/4

• -π/6

• -π/2

• -π/3