10-2 Angles & Arcs
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10-2 Angles & Arcs in a circle
B A D
C
B “ARC” A
110°
D CENTRAL ANGLE
C
mBA=110
SEMI-CIRCLE ARC
B
A D
C mBAC = 180
“Major Arc”
A
B
110°
D
C m ABC = 110 + 180
40% • 360° = 144°
Arc LENGTH Arc MEASURE & Arc LENGTH
are DIFFERENT!!!!
• Arc MEASURE is related to the Central Angle.
• Arc LENGTH is related to the actual Circumference of the circle! (Like walking around a track)
• Don’t Forget your Circumference Formula! C = (2r)π
or
C = (d)π
How to Find Arc LENGTH!! Set up a proportion:
40°
B A D
C
B “ARC” A
110°
D CENTRAL ANGLE
C
mBA=110
SEMI-CIRCLE ARC
B
A D
C mBAC = 180
“Major Arc”
A
B
110°
D
C m ABC = 110 + 180
40% • 360° = 144°
Arc LENGTH Arc MEASURE & Arc LENGTH
are DIFFERENT!!!!
• Arc MEASURE is related to the Central Angle.
• Arc LENGTH is related to the actual Circumference of the circle! (Like walking around a track)
• Don’t Forget your Circumference Formula! C = (2r)π
or
C = (d)π
How to Find Arc LENGTH!! Set up a proportion:
40°
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