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Circle Vocabulary. A Journey into the World of Circles…. Homework: Lesson 1.7/1-11, 13, 15, 19-20 all; 23 -37 odds. Definitions Objective: Have students understand the common definitions associated with circles such as radius, chord, and tangent, as well as the definition of a circle itself. - PowerPoint PPT Presentation
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Circle Vocabulary
A Journey into the World of Circles…
Homework:Lesson 1.7/1-11, 13, 15, 19-20 all;
23 -37 odds
Definitions
Objective: Have students understand the common
definitions associated with circles such as radius, chord, and
tangent, as well as the definition of a circle itself
What is a Circle?
A circle is defined as…The set of all points in a
plane that are equidistant (radius) from a given point (center).
Circle Names
A circle is named by its center Since the center is a point we use the
circle notation and the point’s name
A
Basic Parts of a Circle
Interior of a Circle
points A, B, C
ON the circle
point D
Exterior of a Circle
points E, F, G
C
D
G
F
E
A B
Your Turn
Lesson 1.7 – CirclesTurn to pages 69 - 71Read the lessonWrite each bold faced word and its definitionOn page 70: complete the investigation on the
3 indicated circle terms
Segments of a Circle
Chord is a segment whose endpoints are on the circle
C
I
H
J
K
HI and JK arechords of C
Segments of a CircleDiameter is a chord that passes through the
center of the circle.
C
D
E
N
MED and MN arediameters of C
The Diameter is the longest chord across a circle.
Segments of a CircleRadius – a segment that has the center as one
endpoint and a point on the circle as the other endpoint.
Don’t forget… A diameter is made up of two radiiAll radii, in the same circle, are congruent
C
PPC is a radiusof C
Diameter, Chord or Radius?
C
R
S
T
Lines that Intersect a Circle
C
X
Y
Lines that Intersect a Circle
Special Cases of Tangent Lines
A
C
E
F
Common Tangent TypesCommon External Tangent
Common Internal Tangent
A
C
E
F
G
H
B
A
E
CD
F
Recap…Identify the following by their correct vocabulary
name
AB - radiusAC - diameter
CD - chord
CD - secant
EF - tangentF - point of tangency
ABACCD
CD
EFF
Concentric Circles
Concentric circles are circles with a common center
and different length radii.
The region between two concentric circles of different radii is called an annulus.
Congruent CirclesCircles are congruent circles if they have
the same length radius.
ARCAn arc of a circle is the continuous part of the circle btwn the 2 endpoints.
An arc is a piece of the circle.
SemicirclesArc of a circle whose endpoints are the endpoints of a diameter of the circle. (3 letter names)
D
F
Minor arcsArc of a circle whose measure is smaller than 180°. (2 letter names)
S
T
Major arcsArc of a circle whose measure is between 180 ˚ and 360˚. (3 letter names)
XT
Identify a minor,a major & a semicircle arc
CENTRAL ANGLE-
is an angle with it’s vertex at
the center and whose legs are
radii of the circle.
A
P D
<APD is a central angle in circle P
Central Angle & Intercepted Arc
The degree measure of a central angle is equal to the degree measure of its intercepted arc.
W
X
A
INSCRIBED ANGLE
An angle with it’s vertex ON the circle and whose legs
are chords of the circle.
<AOB is an inscribed angle in circle P
In summary…..
minor
major
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