Unit 10 Circles

Unit 10 Circles

Beginning Lesson on Circles (Vocabulary)

Multiple Choice

What does the point A represent?

• Radius

• Center

• Diameter

• Origin

Multiple Choice

What is does the green line T represent?

• Circumference

• Perimeter

• Radius

• Diameter

Multiple Choice

What does the red line J represent?

• Circumference

• Center

• Radius

• Diameter

Multiple Choice

What does the line L represent?

• Center

• Circumference

• Radius

• Diameter

Multiple Choice

Define "radius"

• A line segment that connects the center to the circumference

• The point in the middle of the circle

• A line segment that passes through the center

• The distance around the circle

Multiple Choice

Define "diameter"

• A line segment that connects the center to the circumference

• The point in the middle of the circle

• A line segment that passes through the center

• The distance around the circle

Multiple Choice

Define "center"

• A line segment that connects the center to the circumference

• The point in the middle of the circle

• A line segment that passes through the center

• The distance around the circle

Multiple Choice

This is a picture of ___________.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

This is a picture of ___________.

• Chord

• Diameter

• Radius

• Inscribed Angle

Multiple Choice

This is a picture of ___________.

• Major Arc
• Minor Arc
• Central Angle
• Inscribed Angle

Multiple Choice

What is this called?

• Chord

• Minor arc

• Secant

• Diameter

Multiple Choice

What is this called?

• Tangent Line

• Secant

• Chord

• Diameter

Degrees and Radians

Review

Angle Movement and Location

Review

Multiple Choice

How many degrees are in one revolution?

• $90\degree$

• $360\degree$

• 180

Multiple Choice

How many radians are in one revolution?

• $\pi$

• $\frac{\pi}{2}$

• $2\pi$

Converting Degrees into radians

• Going from degrees to $\pi$   

• Step 1: multiply by  $\pi$  equivalent. In other words multiply by the ratio  $\frac{\pi}{180}$ .

• Step : Simplify fraction. 

Multiple Choice

How many radians are in $60\degree$ ?

•  $\frac{\pi}{2}$  

•  $\frac{3\pi}{2}$  

•  $\frac{\pi}{3}$   

Multiple Choice

How many radians are in $45\degree$   ?

•  $\pi$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{4}$  

Multiple Choice

How many radians are in $135\degree$   ?

•  $\pi$  

•  $\frac{3\pi}{4}$  

•  $\frac{4\pi}{3}$  

Converting Radians to degrees

• Going from radians to degrees

• Step 1: Multiply by degree equivalent.  $\frac{180\degree}{\pi}$  

Multiple Choice

How many degrees are in $\frac{\pi}{4}$   radians?

•  $30\degree$  

•  $45\degree$  

•  $60\degree$  

Multiple Choice

How many degrees are in $\frac{2\pi}{3}$   radians?

•  $90\degree$  

•  $120\degree$  

•  $150\degree$  

Multiple Choice

How many degrees are in $\frac{5\pi}{4}$   radians?

•  $270\degree$  

•  $225\degree$  

•  $180\degree$  

Poll

Gauge your understanding of this lesson.

• Mastered

• Good Understanding

• Need More Practice

• Don't Understand