9.7 Arcs, Sectors, and Segments

9.7 Arcs, Sectors, and Segments - Arcs, Sectors and...

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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 What undergarment does Little Mermaid wear? An Alge­bra What does an acorn say when he grows up? Ge­om­etry ...
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