Measure of an Angle

The video tutorial explains the concepts of angles, focusing on degree and radian measurements. It covers the basics of angle measurement, including the vertex and revolution, and provides detailed instructions on converting between degrees and radians. The tutorial includes examples to illustrate these conversions, emphasizing the importance of understanding both measurement systems for practical applications.

What is the degree measure of an angle that is 4/9 of a revolution counterclockwise from the X-axis?

• 200 degrees

• 160 degrees

• 120 degrees

• 180 degrees

How many radians are there approximately in a full circle?

• 6 radians

• 8 radians

• 4 radians

• 3 radians

If an angle is 4/9 of a revolution counterclockwise from the X-axis, what is its radian measure?

• 8π/9

• 7π/9

• 6π/9

• 5π/9

What is the conversion factor to convert degrees to radians?

• 180/π

• π/90

• π/180

• 90/π

Convert 11π/3 radians to degrees.

• 330 degrees

• 550 degrees

• 440 degrees

• 660 degrees