Arcs and Central Angles

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ARCS AND CENTRAL ANGLES

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Presentation transcript:

Arcs and Central Angles Geometry Arcs and Central Angles November 11, 2018

Symbols Circle Arc November 11, 2018

Goals Identify arcs & central angles in circles Compute arc measures and angle measures November 11, 2018

Central Angle An angle whose vertex is the center of a circle. A November 11, 2018

Minor Arc Part of a circle. The measure of the central angle is less than 180. C T A November 11, 2018

Semicircle Half of a circle. The endpoints of the arc are the endpoints of a diameter. The central angle measures 180. C A T D November 11, 2018

Major Arc Part of a circle. The measure of the central angle is greater than 180. C T A D November 11, 2018

Major Arc C BUT NOT T A D November 11, 2018

Measuring Arcs An arc has the same measure as the central angle. We say, “a central angle subtends an arc of equal measure”. A 42 42 B C November 11, 2018

Measuring Major Arcs The measure of an major arc is given by 360  measure of minor arc. 42 A B C D November 11, 2018

Arc Addition Postulate November 11, 2018

What have you learned so far? 1) 2) 3) 4) 5) 6) P Q R S T 120 60 40 November 11, 2018

Homework November 11, 2018