Unit Question:
This presentation is the property of its rightful owner.
Sponsored Links
1 / 19

Unit Question: What are the properties and characteristics of circles? PowerPoint PPT Presentation


  • 92 Views
  • Uploaded on
  • Presentation posted in: General

Unit Question: What are the properties and characteristics of circles?. Today’s Question: How does the measure of an arc compare to the measure of its central angle?. Chapter 11 Circles. C. 11.1 Parts of a Circle.

Download Presentation

Unit Question: What are the properties and characteristics of circles?

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Unit question what are the properties and characteristics of circles

Unit Question:What are the properties and characteristics of circles?

Today’s Question:

How does the measure of an arc compare to the measure of its central angle?


Unit question what are the properties and characteristics of circles

Chapter 11

Circles


11 1 parts of a circle

C

11.1 Parts of a Circle

Circle – set of all points _________ from a given point called the _____ of the circle.

equidistant

C

center

Symbol:


11 1 parts of a circle1

11.1 Parts of a Circle

RADIUS= distance from the _____ to a point on the circle

center

P


Unit question what are the properties and characteristics of circles

CHORD: a segment whose ________ are on the circle

endpoints


Diameter

Diameter

DIAMETER: distance ______ the circle through its ______

across

P

center

Also known as the longest chord.


What is the relationship between the diameter and the radius of a circle

What is the relationship between the diameter and the radius of a circle?

r =

OR

D =

½ D

2 r


Unit question what are the properties and characteristics of circles

D = ?

24

32

12

r = ?

16

r = ?

4.5

6

D = ?

12

9


Use p to determine whether each statement is true or false

Q

R

P

S

T

Use P to determine whether each statement is true or false.


Same center but different radii

Same center but different radii

Concentric Circles


Unit question what are the properties and characteristics of circles

Q

R

P

S

T

Ex. 4

14


Unit question what are the properties and characteristics of circles

Q

R

P

S

T

Ex. 5

18


Unit question what are the properties and characteristics of circles

Arcs and

Section 11.2

Central Angles


Unit question what are the properties and characteristics of circles

Central Angle : An Angle whose vertex is at the center of the circle

ACB

AB

A

Minor Arc

Major Arc

Less than 180°

More than 180°

P

To name: use 3 letters

C

B

To name: use 2 letters

<APB is a Central Angle


Unit question what are the properties and characteristics of circles

EDF

Semicircle: An Arc that equals 180°

E

D

P

F

To name: use 3 letters


Measure of an arc is equal to the measure of the central angle

Measure of an arc is equal to the measure of the central angle


Things to know and remember always

THINGS TO KNOW AND REMEMBER ALWAYS

A circle has 360 degrees

A semicircle has 180 degrees

Vertical Angles are Equal


Unit question what are the properties and characteristics of circles

Find the measure of an the following arcs.

EB is a diameter.

m AB

m ACB

m AE

A

E

96

=

96

Q

=

264

B

C

=

84


Unit question what are the properties and characteristics of circles

m DAB =

Tell me the measure of the following arcs.

240

D

A

140

m BCA =

260

R

40

100

80

C

B


  • Login