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Published byLawrence Gray Modified over 9 years ago
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Write an example of each of the following: A.Radius ____ B.Secant ____ C.Tangent ____ D.Chord ____ E.Diameter ____ F.Minor arc ____ G.Major arc ____ H.Central angle ____ I.Inscribed angle ____ J.Center ____ Bell Ringer – Wednesday, December 2, 2015
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Circles Quick Review of Definitions
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Chord a segment whose endpoints lie on a circle A B AB
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Arc an unbroken part of a circle
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Minor Arc an arc that is less than half of a circle to name, use 2 points
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Major Arc an arc that is more than half of a circle to name, use 3 points
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Central Angle an angle whose vertex is at the center of a circle
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Inscribed Angle an angle whose vertex is on a circle and whose sides are chords of the circle
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Tangent a line, ray, or segment that is in the same plane as the circle, but intersects the circle in only one point
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Secant a line, ray, or segment that contains a chord
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Arc Length Arc Length is a portion of the circumference because everything is proportional when it comes to circles! You need to know the central angle that intercepts your arc to set up your proportion.
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Examples Find the arc length: 1. Radius 5cm, central angle 50 o 2. Radius 7cm, central angle 100 o Find the circumference: 3. Central angle 55 o, arc length 5.5cm 4. Central angle 60 o, arc length 3.82m Find the central angle: 5. Arc length 45ft, radius 12ft 6. Arc length 30in, radius 14in
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Assignments Classwork: Geometry book p. 686-688 #13-47 odd Homework: Circumference and Arc Length
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