Converting Angles: Degrees to Radians

The video tutorial explains how to plot angles in standard position and convert them to exact radian measures. It covers three examples: -54 degrees, -224 degrees, and -173 degrees. For each example, the process of plotting the angle on the coordinate plane is demonstrated, followed by the conversion of the angle from degrees to radians using the formula (angle in degrees) * (pi/180). The tutorial also shows how to verify the fraction part of the radian measure using a calculator, ensuring accuracy in the conversion process.

What is the initial side position when plotting an angle in standard position?

• Along the negative y-axis

• Along the positive x-axis

• Along the negative x-axis

• Along the positive y-axis

How do you convert an angle from degrees to radians?

• Multiply by 180/pi

• Multiply by pi/180

• Divide by 180

• Add pi to the angle

What is the radian measure of negative 54 degrees?

• Negative pi/6

• Negative 5 pi/9

• Negative 2 pi/7

• Negative 3 pi/10

What is the decimal approximation of negative 3 pi/10 radians?

• Approximately -1.047

• Approximately -0.785

• Approximately -1.570

• Approximately -0.942

How many degrees is half a rotation clockwise?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

What is the greatest common factor used to simplify the conversion of negative 224 degrees to radians?

• 2

• 4

• 6

• 8

What is the radian measure of negative 224 degrees?

• Negative 3 pi/10

• Negative 45 pi/56

• Negative 5 pi/9

• Negative 56 pi/45

What is the decimal approximation of negative 56 pi/45 radians?

• Approximately -1.570

• Approximately -4.712

• Approximately -3.910

• Approximately -2.356

What is the exact radian measure of negative 173 degrees?

• Negative 5 pi/9

• Negative 3 pi/10

• Negative 180 pi/173

• Negative 173 pi/180

What is the decimal approximation of negative 173 pi/180 radians?

• Approximately -4.712

• Approximately -1.570

• Approximately -2.356

• Approximately -3.019