Exploring the Unit Circle: Degrees and Radians

What is the significance of the 16 specific points on the unit circle?

• They represent the maximum values of x and y coordinates.

• They are formed by special right triangles and are key for understanding sines and cosines.

• They are random points with no specific mathematical significance.

• They indicate the points where the circle intersects the axes.

What angle in degrees is directly opposite 0 degrees on the unit circle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Which angle corresponds to the top of the unit circle?

• 0 degrees

• 90 degrees

• 270 degrees

• 180 degrees

What is the radian measure equivalent to 180 degrees?

• Pi over 2

• Pi

• 3 Pi over 2

• 2 Pi

What is the radian measure for 90 degrees?

• 2 Pi

• Pi over 2

• Pi over 4

• Pi

How many radians are in a full circle?

• Pi over 2

• 2 Pi

• 4 Pi

• Pi

What fraction of Pi is used to represent 30 degrees in radians?

• Pi over 8

• Pi over 6

• Pi over 4

• Pi over 3

Which radian measure is located in the third quadrant and closer to the y-axis?

• 2 Pi over 3

• 5 Pi over 3

• 3 Pi over 2

• 4 Pi over 3

What is the radian measure for an angle located at the bottom of the unit circle?

• Pi

• Pi over 2

• 3 Pi over 2

• 2 Pi

Which of the following is a correct representation of 45 degrees in radians?

• Pi over 6

• Pi over 4

• Pi over 3

• Pi over 2