How to convert between degrees and radians and vice versa

This video tutorial explains how to convert between radians and degrees, emphasizing the importance of understanding units. It uses examples to illustrate the equivalence of different units and provides step-by-step instructions for converting angles from degrees to radians and vice versa. The tutorial highlights the ratio of π to 180 degrees as a key concept in these conversions.

Why is it important to convert between radians and degrees?

• To measure angles in different units

• To solve algebraic equations

• To calculate time more accurately

• To understand fractions better

What is an example of equivalent units mentioned in the video?

• Meters and kilometers

• Seconds and minutes

• Pounds and kilograms

• Liters and gallons

How can you express 3/4 as an equivalent fraction?

• 7/14

• 5/10

• 6/8

• 9/12

What is the equivalent of π radians in degrees?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What ratio is used to convert degrees to radians?

• 180/π

• π/180

• π/360

• 360/π

What is the result of converting 60 degrees to radians?

• π/6

• π/4

• π/3

• π/2

How do you convert radians to degrees?

• Multiply by 360/π

• Multiply by 180/π

• Multiply by π/180

• Multiply by π/360