circles
DESCRIPTION
Circles. Segments of Circles. C. Parts of a Circle. Circle – set of all points _________ from a given point called the _____ of the circle. equidistant. C. center . Symbol:. CHORD:. A segment whose endpoints are on the circle. Radius. RADIUS:. - PowerPoint PPT PresentationTRANSCRIPT
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Parts of a CircleCircle – set of all points _________ from a given point called the _____ of the circle.
C
Symbol:
equidistant
center
C
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CHORD:A segment whose endpoints are on the circle
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P
RADIUS:Distance from the center to point on circle
Radius
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Diameter
P
DIAMETER:Distance across the circle through its centerAlso known as the longest chord.
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D = ?
r = ?
r = ? D = ?
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Use P to determine whether each statement is true or false.
P
QR
TS
diameter. a is .1 RT False
radius. a is .2 PS True
chord. a is .3 QT True
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Secant Line:intersects the circle at exactly TWO points
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a LINE that intersects the circle exactly
ONE time
Tangent Line:
Forms a 90°angle with a radiusPoint of Tangency: The point where the tangent intersects the circle
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Name the term that best describes the notation.
Secant
Radius
DiameterChordTangent
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P
A
BC
Central Angle : An Angle whose vertex is at the center of the
circleMinor ArcMajor Arc
Less than 180°
More than 180°
ABACBTo name:
use 2 letters
To name: use 3 letters
APB is a Central Angle
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P
E
F
D
Semicircle: An Arc that equals 180°
EDF
To name: use 3 letters
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THINGS TO KNOW AND REMEMBER ALWAYS
A circle has 360 degreesA semicircle has 180
degreesVertical Angles are Equal
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measure of an arc = measure of central angle
A
B
C
Q 96
m AB
m ACBm AE
E
=
==
96°
264°84°
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Arc Addition PostulateA
BC
m ABC =
m AB + m BC
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Tell me the measure of the following arcs.
80100
40
140A
B
C
DR
m DAB =m BCA =
240
260
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Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles.
4545
A
BC
D
110
Arc length is proportional to “r”
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Classwork
• Practice Worksheet
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Homework:
• Practice Worksheet