Converting Angles from Degrees to Radians

The video tutorial explains how to convert angles from degrees to radians using unit fractions. It begins with an introduction to the concept of angle conversion and the derivation of unit fractions. The process of conversion is detailed, followed by several example calculations to illustrate the method. The tutorial emphasizes the importance of simplifying the degree measure and choosing the correct unit fraction for conversion.

What is the primary method used to convert angles from degrees to radians?

• Adding a constant value

• Multiplying by a unit fraction

• Subtracting a constant value

• Dividing by a unit fraction

What is the unit fraction derived from the equation 2/PI radians equals 360 degrees?

• PI/360 degrees

• 360 degrees/PI

• PI/180 degrees

• 180 degrees/PI

How can you determine which unit fraction to use for converting degrees to radians?

• By checking if the degree measure is in the numerator

• By ensuring the degree measure is in the denominator

• By using the smaller unit fraction

• By using the larger unit fraction

What is the result of converting 135 degrees to radians?

• PI/2 radians

• PI/3 radians

• 3PI/4 radians

• PI/6 radians

When converting 60 degrees to radians, what is the common factor used for simplification?

• 60

• 45

• 30

• 15

What is the simplified radian measure for 60 degrees?

• PI/6 radians

• -PI/6 radians

• PI/3 radians

• -PI/3 radians

How many fifteens are there in 180 when simplifying 15 degrees to radians?

• 10

• 18

• 12

• 15

What is the radian measure for 15 degrees after simplification?

• PI/10 radians

• PI/15 radians

• PI/12 radians

• PI/18 radians

What common factor is used to simplify the conversion of 48 degrees to radians?

• 8

• 10

• 12

• 15

What is the final radian measure for 48 degrees?

• -2PI/15 radians

• -4PI/15 radians

• -3PI/15 radians

• -PI/15 radians