15.1 Central Angles and Inscribed Angles

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Presentation transcript:

15.1 Central Angles and Inscribed Angles How can you determine the measures of central angles and inscribed angles of a circle?

Chord- a segment whose endpoints lie on a circle Central Angle- an angle less than 180 whose vertex lies at the center of a circle Inscribed Angle- an angle whose vertex lies on a circle and whose sides contain chords of the circle

Arc- a continuous portion of a circle consisting of 2 points (called the endpoints of the arc) and all the points on the circle between them Symbol for arc

Use 2 letters Less than 180° Use 3 letters Greater than 180°

Intercepted arc- endpoints that lie on the sides of an inscribed angle and all the points of the circle between them

A If m<ABC = 50° what is arc AC? B C

Tear out Pages 786-790 and circle the following problems: 1, 4-17, 24