10-6 CIRCLES AND ARCS Objective: To find the measures of central angles and arcs. To find the circumference and arc length.

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Presentation transcript:

10-6 CIRCLES AND ARCS Objective: To find the measures of central angles and arcs. To find the circumference and arc length.

Circle Circle: the set of all points equidistant from a given point called the center. Diameter: segment that contains the center of the circle and has both endpoints on the circle. Radius: segment that has one endpoint on center and the other on the circle. Central angle: angle whose vertex is at center of circle

More Circle Vocab Arc: part of a circle Semicircle: half of a circle Minor arc: smaller than a semicircle (named by endpoints) Major arc: larger than a semicircle (named by endpoints and one other point between them, 3 points total)

Problem 1

Try with a partner

Arc Measure

Adjacent Arcs Adjacent arcs: arcs of the same circle that have exactly one point in common.

Problem 2

Try with a partner

Homework Pg. 654 # 9 – 23 all, 37 – 42,

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