This video tutorial explains how to convert angles between degrees and radians. It begins by establishing the relationship between these two units and introduces the concept of conversion ratios. The tutorial provides practical examples using inches and feet to illustrate the concept of conversion ratios. It then applies these principles to convert angles from radians to degrees and vice versa, offering tips on choosing the correct conversion ratio. The video aims to ensure students understand and remember the conversion process.

What is the total degree measure of a full circle?

• 360 degrees

• 270 degrees

• 90 degrees

• 180 degrees

Which of the following is the correct conversion ratio for degrees to radians?

• 2π/360 radians

• 360/2π degrees

• 180/π radians

• π/180 degrees

How many inches are there in one foot?

• 8 inches

• 15 inches

• 12 inches

• 10 inches

If you have 132 inches, how many feet is that equivalent to?

• 12 feet

• 11 feet

• 10 feet

• 13 feet

What is the first step in converting 4π/3 radians to degrees?

• Divide by π

• Multiply by π/180

• Multiply by 180/π

• Add 180

When converting 140 degrees to radians, which conversion ratio should be used?

• π/360

• 180/π

• 360/π

• π/180

What is the result of converting 140 degrees into radians?

• 7π/9

• 14π/18

• 14π/9

• 7π/18