Understanding Angles and Radians

The video tutorial explains the concept of radians and their application in labeling angles on the unit circle. It covers the relationship between radians and pi, the concept of coterminal angles, and how to divide the circle into halves, quarters, and eighths. The tutorial also explores special right triangles, such as the 30-60-90 triangle, and their relation to radians and degrees.

What is the initial side of an angle on the unit circle?

• Negative y-axis

• Positive x-axis

• Positive y-axis

• Negative x-axis

How many radians are there in a full circle?

• 3.14 radians

• 4 radians

• 6.28 radians

• 2 radians

What is the equivalent of 180 degrees in radians?

• Pi radians

• Pi/2 radians

• 3 Pi/2 radians

• 2 Pi radians

What is a coterminal angle?

• An angle that shares the same terminal side

• An angle that is less than 90 degrees

• An angle that is exactly 180 degrees

• An angle that is more than 360 degrees

How many halves are there in a full circle?

• 2 halves

• 1 half

• 4 halves

• 3 halves

What is the radian measure for 90 degrees?

• 2 Pi

• Pi

• Pi/2

• Pi/4

How many fourths are there in a full circle?

• 6 fourths

• 8 fourths

• 4 fourths

• 2 fourths

What is the radian measure for 45 degrees?

• Pi/3

• Pi/4

• Pi/6

• Pi/2

How many thirds are there in a full circle?

• 3 thirds

• 2 thirds

• 6 thirds

• 4 thirds

What is the radian measure for 60 degrees?

• Pi/2

• Pi/3

• Pi/4

• Pi/6