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Arc length and area of sector
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The length of part of the circumference.
Arc Length
The length of the arc depends on what two things?
1) The measure of the arc.2) The size of the circle.
An arc length measures distance while the measure of an arc is in degrees.
Portions of a Circle: Determine the Arc measure based on the portion given.
A. B. C. D.
¼ of a circle: ½ of a circle: 1/3 of circumference : 6π out of a total 36π on the circle: ¼ ● 360
90o
90o
½ ● 360
180o
180o
1/3 ● 360
120o
120o
1/6 ● 360
60o
60o
Area of a Sector Formula
m360πr2Area of a sector =
measure of the central angle or arc
The fraction of the circle!
The area of the entire circle!
.