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AGENDA Notes on Circles Notes on Central Angles Practice Worksheet
Homework Worksheet
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Unit 3 Circles
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Segments of Circles
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Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol: C
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CHORD: A segment whose endpoints are on the circle
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Radius RADIUS: Segment from the center to point on circle P
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A Chord that passes through the center.
Diameter DIAMETER: A Chord that passes through the center. P Also known as the longest chord.
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D = ? 24 32 12 r = ? 16 r = ? 4.5 6 D = ? 12 9
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Use P to determine whether each statement is true or false.
Q R T S True: thumbs up False: thumbs down
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Secant: A line that intersects the circle at exactly TWO points
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a LINE that intersects the circle exactly ONE time
Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle with a radius Point of Tangency: The point where the tangent intersects the circle
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Secant Radius Diameter Chord Tangent
Name the term that best describes the notation. Secant Radius Diameter Chord Tangent
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Concentric Circles
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Common Tangents Go To Page 8
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Central Section 6.2 Arcs
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<APB is a Central Angle
Central Angle : An Angle whose vertex is at the center of the circle A Major Arc Minor Arc More than 180° Less than 180° ACB P AB To name: use 3 letters C To name: use 2 letters B <APB is a Central Angle
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Semicircle: An Arc that equals 180°
To name: use 3 letters E D EDF P F
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THINGS TO KNOW AND REMEMBER ALWAYS p. 7
A circle has ___ degrees A semicircle has ___ degrees Vertical Angles are ______ Linear Pairs are __________
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measure of an arc = measure of central angle
96 Q m AB = 96° B C m ACB = 264° m AE = 84°
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Arc Addition Postulate
B m ABC = + m BC m AB
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240 260 m DAB = m BCA = Tell me the measure of the following arcs. D
140 260 m BCA = R 40 100 80 C B
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CONGRUENT ARCS Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles. C B D 45 45 110 A Arc length is proportional to “r”
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Classwork P. 8 Worksheet
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Homework: Practice Worksheet
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