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Arc Length and Area of Sectors
Transcript of Arc Length and Area of Sectors
AREA OF SECTORS Arc Length An arc length is a portion of the circumference of a circle. Arc Length Formula of Arc Length m(AB) ) 360 I I I Example #1 EF = ) 100 ______ 360 2 I I 7 I . = 5 18 ____ . 14 I I I = 70 I I 18 I ________ = 35 I I _________ I 9 Example #2 The length of a semicircle is one half of the circumference. The length of an arc is one quarter of the circumference Example #3 1 2 . 1 __ 4 . 2 I I r I __ 2 I I r I Area of Sectors A sector of a circle is the region bounded by two radii of the circle and their intercepted arc. Sector Formula of a Sector A = m(AB) 360 ________ . I I r I 2 ) Example #1 A = 80 _____ 360 . I I 4 2 I = 2 9 ___ . 16 I I I = 32 I I 9 _______ I Example #2 A = 70 ______ 360 . I I 10 2 I = 7 36 ______ . 100 I I I = 700 I I ___________ 36 I = 175 I I 9 I _________ Examples and Definitions from McDougal Littell Geometry A = m(AB) 360 ________ . I I r I 2 ) A = m(AB) 360 ________ . I I r I 2 ) 2 r _______ . ) 360 _______ . m(AB) 2 r I I I