Understanding Conversion from Degrees to Radians

The video tutorial explains the concept of ratios and their application in converting degrees to radians. It introduces the relationship between degrees and radians, using the ratio of pi to 180. The instructor demonstrates how to simplify this conversion by canceling out units and reducing fractions, ultimately showing that 30 degrees is equivalent to pi over 6 radians.

What is a ratio in mathematical terms?

• A comparison between two quantities

• A method to solve equations

• A type of angle measurement

• A unit of distance

What is the equivalent of pi radians in degrees?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

Which ratio is used to convert degrees to radians?

• pi/360

• 360/pi

• pi/180

• 180/pi

How do you simplify the fraction 30pi/180?

• pi/12

• pi/9

• pi/6

• pi/3

What happens to the degree units during the conversion process?

• They are multiplied

• They are added

• They cancel out

• They remain unchanged

What is the radian measure of 30 degrees?

• pi/3

• pi/4

• pi/5

• pi/6

Why is the ratio pi/180 used in conversions?

• To simplify calculations

• To convert degrees to radians

• To ensure unit consistency

• To convert radians to degrees

What is the first step in converting degrees to radians?

• Add 180 to the degree measure

• Use the ratio pi/180

• Divide by 180

• Multiply by pi

What is the result of dividing 30 by 180 in the conversion process?

• 1/12

• 1/3

• 1/6

• 1/9

What is the final step in the conversion process?

• Add pi to the result

• Simplify the fraction

• Multiply by 180

• Subtract pi from the result