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Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle (in a plane). equidistant C center Symbol: C
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CHORD: a segment whose ________ are on the circle
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RADIUS: distance from the _____ to a point on the circle
center P
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DIAMETER: distance ______ the circle through its ______
across P center Also known as the longest chord.
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What is the relationship between the diameter and the radius of a circle?
OR D = ½ D 2 r
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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
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SECANT sounds like second
Secant Line A secant line intersects the circle at exactly TWO points. SECANT sounds like second
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TANGENT: a LINE that intersects the circle exactly ONE time
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Point of Tangency
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Secant Radius Diameter Chord Tangent
Name the term that best describes the line. Secant Radius Diameter Chord Tangent
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Two circles can intersect…
in two points one point or no points
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No points of intersection (different center)
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No points of intersection (same center)
Concentric Circles Same center but different radii
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1 point of intersection (Tangent Circles)
Externally Tangent Internally Tangent
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2 points of intersection
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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
A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Congruent
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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
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