1 / 3

Circles and Arcs

Circles and Arcs. Objectives: To find the measures of central angles and arcs To find the circumference and arc length. Circle The set of all points in a plane at a given distance (radius) from a given point (center) in the plane. Name a circle by its center point. Radius

simone-hubbard
Download Presentation

Circles and Arcs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Circles and Arcs Objectives: To find the measures of central angles and arcs To find the circumference and arc length

  2. Circle • The set of all points in a plane at a given distance (radius) from a given point (center) in the plane. • Name a circle by its center point. • Radius • A segment from the center to a point on the edge of the circle. • Diameter • A line segment containing the center, with its endpoints on the circle. • Congruent Circles • Two or more circles with the same radius. • Concentric Circles - Two or more coplanar circles with the same center P • Circumference of a Circle • π(pi) times the diameter

  3. p. 654: 9, 10, 13, 14, 19, 20, 25, 26, 31, 32, 34, 35 B A Notation: AB • Arc of a circle • Two points on the circle and the continuous (unbroken) part of the circle between the two points (endpoints). • Semicircle • An arc of a circle whose endpoints are the endpoints of a diameter. • Notation: Three points name arc (endpoints with any other point on arc in middle) • Minor arc • An arc of a circle that is smaller than a semicircle. • Notation: Two endpoints name arc. • Major arc • An arc of a circle that is larger than a semicircle • Notation: Same as semicircle • Arc measure • Central angle: angle with its vertex at the center of the circle and the sides passing through endpoints of the arc.

More Related