Geometry Section 10-2 Find Arc Measures.

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Presentation transcript:

Geometry Section 10-2 Find Arc Measures

Central Angle An angle whose vertex is the center of the circle

Arcs Minor Arc – less than 180° Major Arc – arc that is not the minor arc Semicircle- arc with endpoints that are the endpoints of a diameter

Measuring Arcs Measure of a minor arc is the measure of its central angle Measure of a major arc is the difference between 360° and the measure of the related minor arc. Measure of a semicircle is 180°

Arc Addition Postulate The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.

Congruent Circles and Arcs Two circles are congruent circles if the have the same radius. Two arcs are congruent arcs if they have the same measure and they are arcs of the same circles or of congruent circles.

Examples Classzone

Assignment Section 10.2 Page 661 Problems # 3-10, 12-22 even #24