Sunday 25 September 2011

4.1 Radian Measure








An arc of a circle is a "portion" of the circumference of the circle.

The length of an arc is simply the length of its "portion" of the circumference. Actually, the circumference itself can be considered an arc length.


The length of an arc (or arc length) is traditionally symbolized by s.









The radian measure  of a theta central angle of a circle is defined as the ratio of the length of the arc the angle subtends, s, divided by the radius of the circle, r.




Therefore, we can conclude that : 





Relationship between Degrees and Radians :




























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