Using the conversion ratio to convert an angle from radians to degrees

The video tutorial explains how to convert radians to degrees using the conversion ratio of 180 degrees divided by π. It begins by introducing the concept and the necessity of the conversion ratio. The tutorial then details the steps to apply this ratio, including multiplying the given radian value by 180/π and simplifying the expression. Finally, it demonstrates the calculation to arrive at the degree value, emphasizing the handling of negative signs in the process.

What is the conversion ratio used to convert radians to degrees?

• 90 degrees divided by π

• 270 degrees divided by π

• 360 degrees divided by π

• 180 degrees divided by π

Why is the conversion ratio 180 degrees divided by π used in this context?

• To add π to the numerator

• To multiply π by 180

• To cancel out π in the numerator and denominator

• To remove π from the equation

What is the first step in applying the conversion ratio to the angle?

• Divide the angle by 180

• Subtract π from the angle

• Multiply the angle by 180/π

• Add 180 to the angle

After multiplying 5 by 180, what is the next step in the calculation?

• Add 6 to the result

• Divide the result by 6

• Multiply the result by π

• Subtract 6 from the result

What is the final degree measure after converting -5π/6 radians?

• 150 degrees

• 90 degrees

• 120 degrees

• 180 degrees