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Unformatted text preview: Arcs, Sectors and Segments
Arcs, Sectors and Segments Section 9.7 A central angle of a circle is an angle whose vertex is the center of the circle. 1 An arc of 1 degree is of a second.
360 A degree is subdivided into minutes. 1° = 60 ' A minute is subdivided into seconds. 1 = 60"
' Angle measures can be given in radians. When a central angle of a circle intercepts an arc that has the same length as the radius of the circle, the measure of this angle is defined to be one radian.
r r
r To change from degrees to radians, multiply by π
°
180 To change from radians to degrees, multiply by 180°
π arc length
angle =
radius s
θ=
r arc length = radius • angle s = r •θ Area of Sector
Area of Sector Joke Time
Joke Time
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 Fall '08
 JARVIS
 Calculus

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