Unit Circle

Lesson 3 The Unit Circle

Multiple Select

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

• The diameter of C is 2r.

• The circumference of C is r.

• The circumference of C is 2r.

• One quarter of the circle has length $$\frac{\pi r}{4}$$

• One quarter of the circle has length $$\frac{\pi r}{2}$$

Multiple Choice

 What is the rotation of an angle measure that is

$$\frac{\pi}{6}$$  

• $$\frac{1}{6}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{1}{12}$$  

• 12

Multiple Choice

 What is the angle measure of a rotation of 

$$\frac{1}{8}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{\pi}{12}$$  

• $$\frac{\pi}{8}$$  

Multiple Choice

 What is the rotation of an angle measure that is

$$\frac{\pi}{2}$$  

• $$\frac{1}{6}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{1}{4}$$  

• 12

Multiple Choice

 What is the rotation of an angle measure that is

$$\frac{2\pi}{3}$$  

• $$\frac{1}{6}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{1}{3}$$  

• 12

Multiple Choice

 What is the angle measure of a rotation of 

$$\frac{1}{6}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{\pi}{12}$$  

• $$\frac{\pi}{3}$$  

Multiple Choice

 What is the angle measure of a rotation of 

$$\frac{1}{2}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{\pi}{6}$$  

• $$\pi$$  

• $$\frac{\pi}{3}$$  

Multiple Choice

 What is the rotation of an angle measure that is

$$\frac{3\pi}{2}$$  

• $$\frac{3}{4}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{1}{3}$$  

• 12

Multiple Select

• $$\frac{\pi}{2}$$

• $$\pi$$

• $$2\pi$$

• $$5\pi$$

• $$10\pi$$

Multiple Choice

 What is the angle measure of a rotation of 

$$\frac{7}{8}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{7\pi}{4}$$  

• $$\pi$$  

• $$\frac{\pi}{4}$$  

Multiple Choice

• $$\pi$$

• $$\frac{\pi}{2}$$

• $$\frac{\pi}{4}$$

• $$\frac{\pi}{8}$$

Multiple Choice

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

• $$\pi$$

• $$\frac{\pi}{2}$$

• $$\frac{\pi}{4}$$

• $$\frac{\pi}{6}$$

Multiple Select

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis?

Select all that apply.

• (17,0)

• (-17,0)

• (0,17)

• (0,-17)

Multiple Select

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis?

Select all that apply.

• (17,0)

• (-17,0)

• (0,17)

• (0,-17)

Open Ended