7 Slides • 9 Questions

How many squares?

Bellringer

2

Central & Inscribed Angles

Dr. Tom Giles

3

An inscribed angle, (B), is an angle drawn inside of a circle such that...

its vertex lies on the circumference of a circle and
its sides intercept the circle (A and C).

Inscribed Angles

4

Multiple Choice

An angle in a circle with vertex on the circle itself

1

Angle

2

Central angle

3

Inscribed angle

4

Chord

5

Multiple Choice

Angle a is called ___ angle.

1

central

2

inscribed

6

The Central Angle of a circle is an angle whose...

vertex is at the center (0) of a circle and...
The two arms form two radii of the circle
intersecting the arc of the circle at different points

Central Angle

7

Multiple Choice

An angle in a circle with vertex on the center of the circle called

1

Angle

2

Central angle

3

Inscribed angle

4

Chord

8

Note that the Central Angle (AOB) cuts the circle in two points...

at Point A
at point B

The Arc AB is called the...

Intercepted Arc

9

Central Angle = Intercepted Arc

Intercepted Arc, Central angle and Inscribed Angle

Inscribed Angle = 1/2( Intercepted Arc )

10

The Central angle angle and the Inscribed Arc have the same measure.

So, if the Central angle = 40^o

The Intercepted Arc measure = 40^o

Angle R = Arc AL

Central Angles and Intercepted Arc Measure

11

Multiple Choice

An angle in a circle with vertex on the center of the circle

1

Central angle

2

Angle

3

Inscribed angle

4

Circle

12

Multiple Choice

An angle in a circle with vertex on the circle itself

1

Angle

2

Central angle

3

Inscribed angle

4

Chord

13

Multiple Choice

What is the measure of angle K and angle M?

1

$m\angle K=100\ \ \ \ \&\ \ \ m\angle M=100$

2

$m\angle K=50\ \ \ \ \&\ \ \ m\angle M=50$

3

$m\angle K=100\ \ \ \&\ \ \ m\angle M=50$

4

$m\angle K=50\ \ \ \&\ \ \ m\angle M=100$

14

Multiple Choice

Find x.

1

51

2

25.5

3

102

4

67

15

Multiple Choice

Find x.

1

48

2

24

3

96

4

42

16

Multiple Choice

What is m∠ACB?

1

67.5°

2

90°

3

22.5°

4

45°

How many squares?

Bellringer

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