Page 153 - Math Course 3 (Book 2)
P. 153

Circles: Angles and Arcs
                 Mo. 11


                  Lesson 2                                         minor arc

                                                                   an arc that measures less than 180°.

                                                                                   A
                 KEY CONCEPTS:

                 1. Recognize major arcs, minor arcs,                                                AC
                     semicircles, and central angles and                               1100
                     their measures.                                                              C
                 2. Find arc length.
                                                                                      B



                 MO. 11 - L2a

                   Central Angles and Arcs of a                    major arc
                                   Circle                          an arc that measures greater than 180°.

                                                                                      D

                            Vocabulary A-Z                                 E                         DFE
                            Let us learn some vocabulary                            600



                central angle                                                         G
                A central angle has the center of the circle as its
                vertex, and its sides contain two radii of the circle.                        F

                                                                   semicircle
                                    1                              an arc that measures 180°.



                                2       3                                                JKL
                                                                           J                      K



                arc
                A central angle separates the circle into two parts,                   N
                each of which is an arc. The measure of each arc is
                related to the measure of its central angle.               M                      L
                                                                                             JML
                                A
                                                                   Key Concept




                                                C                  Sum of Central Angles
                                    B                              Words     The sum of the measure of the central
                                                                             angles of a circle with no interior points
                                                                             in common is 360.

                                                                   Example: m∠1 + m∠2 + m∠3 = 360        1

                                                                                                       2    3


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