Chapter11 - Circles 11.1 Parts of a Circle 11.2 Arcs and...

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Circles Circles § 11.1 Parts of a Circle 11.1 Parts of a Circle § 11.4 Inscribed Polygons 11.4 Inscribed Polygons § 11.3 Arcs and Chords 11.3 Arcs and Chords § 11.2 Arcs and Central Angles 11.2 Arcs and Central Angles § 11.6 Area of a Circle 11.6 Area of a Circle § 11.5 Circumference of a Circle 11.5 Circumference of a Circle
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Parts of a Circle Parts of a Circle You will learn to identify and use parts of  circles 1)  circle 2)  center 3)  radius 4)  chord 5)  diameter 6)  concentric
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Parts of a Circle Parts of a Circle A circle is a special type of geometric figure. All points on a circle are the same distance from a ___________. center point O B A The measure of OA and OB are the same; that is, OA OB
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Parts of a Circle Parts of a Circle Definition of a Circle A circle is the set of all points in a plane that are a given distance from a given _____ in the plane, called the ______ of the circle. po int c e nte r P Note: a circle is named by its center. The circle above is named circle P.
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Parts of a Circle Parts of a Circle There are three kinds of segments related to circles. A ______ is a segment whose endpoints are the center of the circle and a point on the circle. ra dius A _____ is a segment whose endpoints are on the circle. c ho rd A ________ is a chord that contains the center dia m e te r
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Parts of a Circle Parts of a Circle Segments of Circles K A dia m e te r c ho rd ra dius R K J K T G K of radius a is KA K of chord a is JR K of diameter a is GT From the figures, you can not that the diameter is a special type of _____ that passes through the center. c ho rd
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Parts of a Circle Parts of a Circle C A D B Q Q. of diameter a is AD Use Q to determine whether each statement is true or false . False; Segment AD does not go through the center Q. Q. of chord a is AC True; Q. of radius a is AD False;
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Theorem 11-1 Theorem 11-2 Parts of a Circle Parts of a Circle All radii of a circle are _________. c o ng rue nt P R S T G PT PS PG PR 2245 2245 2245 The measure of the diameter d of a circle is twice the measure of the radius r of the circle. r or = = d r d 2 1 2
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Parts of a Circle Parts of a Circle C A B Q 3x-5 17 Find the value of x in Q. 3x – 5 = 2(17) 3x – 5 = 34 3x = 39 x = 13
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Parts of a Circle Parts of a Circle If QR = 1, find RT RT = TQ – QR R P Q T B A P has a radius of 5 units, and T has a radius of 3 units. RT = 3 – 1 RT = 2 If QR = 1, find PQ PQ = PR – QR PQ = 5 – 1 PQ = 4 If QR = 1, find AB AB = 2(AP) + 2(BT) – 1 AB = 2(5) + 2(3) – 1 AB = 10 + 6 – 1 AB = 15
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Parts of a Circle If AR = 2 x , find AP in terms of x . AR = 2(AP) R P Q T B A P has a radius of 5 units, and T has a radius of 3 units. 2x = 2(AP)
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Chapter11 - Circles 11.1 Parts of a Circle 11.2 Arcs and...

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