Understanding Radian Measure

The video introduces radian measure, comparing it to degrees, and explains how to convert between the two. It uses a circle to illustrate the relationship between radians and degrees, showing that 180 degrees equals pi radians. The video provides examples of converting degrees to radians using a simple proportion method, demonstrating calculations for 150 and 60 degrees. A follow-up video is mentioned for further practice.

What is a radian measure similar to in terms of units of measurement?

• Inches and centimeters

• Pounds and kilograms

• Miles and kilometers

• Liters and gallons

How many degrees are equivalent to π radians?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What is the radian measure for a full circle?

• 2π radians

• 3π radians

• 4π radians

• π radians

What is the equivalent of 90 degrees in radians?

• π/6

• π/2

• π/3

• π/4

What is the equivalent of 270 degrees in radians?

• 3π/2

• 2π

• 5π/3

• 4π/3

What proportion is used to convert degrees to radians?

• π/360

• π/270

• π/180

• π/90

When converting 150 degrees to radians, what is the first step?

• Multiply by π/360

• Multiply by π/270

• Multiply by π/180

• Multiply by π/90

What is the radian measure of 150 degrees after simplification?

• π/3

• π/4

• 5π/6

• 5π/3

What is the first step in converting 60 degrees to radians?

• Multiply by π/90

• Multiply by π/180

• Multiply by π/270

• Multiply by π/360

What is the radian measure of 60 degrees after simplification?

• π/6

• π/4

• π/3

• π/2