Understanding Angles in Standard Position

The video tutorial explains angles in standard position, where the initial side is on the positive x-axis. It covers counterclockwise rotation resulting in positive angles and clockwise rotation resulting in negative angles. The video illustrates the conversion between degrees and radians, highlighting key angles like 90, 180, and 270 degrees, known as quadrantal angles. It also discusses the unit circle, emphasizing that the radius can vary without affecting the angle. The tutorial aims to provide a comprehensive understanding of angle measurement and rotation.

What is the initial side of an angle in standard position?

• On the positive x-axis

• On the negative x-axis

• On the negative y-axis

• On the positive y-axis

How many degrees are in one full counterclockwise revolution?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the radian measure of 4 degrees?

• Pi over 60

• Pi over 45

• Pi over 30

• Pi over 90

What fraction of a full revolution is 90 degrees?

• 1/5

• 1/4

• 1/3

• 1/2

Which angle is considered a quadrantal angle?

• 180 degrees

• 90 degrees

• 45 degrees

• 135 degrees

What is the degree measure of a straight angle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What is the degree measure of a reflex angle?

• Less than 90 degrees

• Between 90 and 180 degrees

• Exactly 360 degrees

• Between 180 and 360 degrees

What is the measure of -90 degrees in terms of revolution?

• -1/4 revolution

• -1/2 revolution

• -1/5 revolution

• -1/3 revolution

What is the radius of the unit circle?

• 0

• 1

• 2

• 3

Does changing the radius of a circle affect the angle in standard position?

• Yes, but only for obtuse angles

• Yes, but only for negative angles

• Yes, it changes the angle

• No, it does not affect the angle