
Circles and Arcs in Geometry
Learn about circles, arcs, and angles in geometry, including definitions, measurements, and problem-solving techniques. Explore the properties of different arcs and circles through illustrative examples and exercises.
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Presentation Transcript
10-6 Circles and Arcs
Circle: the set of all points equidistant from a given point called the center Diameter: is the segment that contains the center of a circle and has both endpoints on the circle Radius: a segment that has one endpoint at the center and the other on the circle Congruent Circles: have congruent radii Central angle: and angle whose vertex is the center of the circle
Arc: is a part of a circle Semicircle: half of a circle Minor arc: smaller than a semicircle (name by its endpoints) Major arc: larger than a semicircle (name by its endpoints and another point on the arc
Arc Addition Postulate Adjacent arcs: are arcs of the same circle that have exactly one point in common.