# 10.6 Circles

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10.6 Circles. and. Arcs. Objective : Find the measures of central angles and arcs. A CIRCLE is the set of all points equidistant from a given point called the center. This is circle P for Pacman. Circle P. P. Central angle. - PowerPoint PPT PresentationTRANSCRIPT

andObjective: Find the measures of central angles and arcs.

A CIRCLE is the set of all points equidistant from a given point called the center.This is circle P for Pacman.Circle PP

A CENTRAL ANGLE of a circle is an angle with its vertex at the center of the circle.

An arc is a part of a circle. In this case it is the part Pacman would eat.

One type of arc, a semicircle, is half of a circle. PACB

A minor arc is smaller than a semicircle. A major arc is greater than a semicircle.

RLNMO

ACDIdentify the following in circle O: 1) the minor arcsEO

ACDIdentify the following in circle O: 2) the semicirclesEO

ACDIdentify the following in circle O: 3) the major arcs containing point AEO

The measure of a central angle is equal to its intercepted arc.

Find the measure of each arc. BC = 32 BD = 90 ABC = 180 AB = 148

Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. Sleep Food Work Must Do Entertainment Other

Homework: page 569 (1 26)

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