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Circle Vocabulary
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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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DIAMETER: Distance across the circle through its center
P Also known as the longest chord.
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RADIUS: Distance from the center to point on circle P
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Radius = ½ diameter or Diameter = 2r
Formula Radius = ½ diameter or Diameter = 2r
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WRITE THIS DOWN AND TELL ME WHY
ALL CIRCLES ARE SIMILAR
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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 Line: intersects the circle at exactly TWO points
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Tangent Line: a LINE that intersects the circle exactly ONE time
Forms a 90°angle with one 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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An angle whose vertex is at the center of the circle
Central Angles An angle whose vertex is at the center of the circle
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3 Types of Arcs Minor Arc ACB AB Major Arc APB is a Central Angle
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°
D E To name: use 3 letters P EDF F
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THINGS TO KNOW AND REMEMBER ALWAYS
A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are CONGRUENT Linear Pairs are SUPPLEMENTARY
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Formula measure Arc = measure Central Angle
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Find the measures. EB is a diameter.
C Q 96 E m AB = 96° 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.
AC is a diameter. D A m DAB = 140 240 R 40 100 80 260 m BCA = C B
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Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles.
B D 45 45 110 A Arc length is proportional to “r”
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Textbook p #11 p #11 – 16, 25 – 30, 38
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