Converting Between Degrees and Radians

The video tutorial explains how to convert between radians and degrees. It begins by outlining the conversion formulas: multiplying degrees by π/180 to convert to radians, and multiplying radians by 180/π to convert to degrees. The tutorial then provides examples, starting with converting 30 degrees to radians, resulting in π/6. Another example involves converting 75 degrees to radians, which simplifies to 5π/12. The video emphasizes the importance of unit cancellation in the conversion process.

What is the formula to convert degrees to radians?

• Multiply by pi over 360

• Multiply by 180 over pi

• Multiply by pi over 180

• Multiply by 360 over pi

How do you convert radians to degrees?

• Multiply by 360 over pi

• Multiply by pi over 360

• Multiply by pi over 180

• Multiply by 180 over pi

What is the radian measure of a 30-degree angle?

• pi over 2

• pi over 4

• pi over 3

• pi over 6

When converting 30 degrees to radians, what is the first step?

• Subtract 180 from the degree

• Multiply by pi over 180

• Divide by 180

• Add pi to the degree

What is the radian measure of a 75-degree angle?

• 7 pi over 18

• 5 pi over 12

• 2 pi over 5

• 3 pi over 8

In the conversion of 75 degrees to radians, which number is used to simplify the fraction?

• 6

• 5

• 4

• 2