Google Classroom
GeoGebraGeoGebra Classroom

IM Alg2.6.3 Practice: The Unit Circle (Part 1)

 is a circle with radius . Which of the following is true? Select all that apply.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

The table shows an angle measure in radians and the amount of rotation about a circle corresponding to the angle. For example, 2π radians corresponds to 1 full rotation. Complete the table.

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point  has returned to its original position. How many feet could the wheel have traveled? Select all that apply.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Here are some points labeled on the unit circle:

What is the measure in radians of angle ?

Angle  is halfway between 0 radians and angle . What is the measure in radians of angle ?

Label point  on the circle so that the measure of angle  is . Label point  on the circle so that the measure of angle  is .

Mark the points on the unit circle with -coordinate .

What are the -coordinates of those points? Explain how you know.

The point  lies on a circle centered at Where does the circle intersect the -axis? Where does the circle intersect the -axis? Explain how you know.

Triangles  and  are similar. Explain why .