Question
Mon August 13, 2012 By:

what is the degree measure of a circle with an arc length of 22cm and with 100cm as the diameter?

Expert Reply
Mon August 13, 2012
Here, l = 22 cm and radius = 100/2 = 50 cm
Theta = l/r = 22/50 radians = 11/25 radians
Now, this can be easily converted to degrees.
11/25 radians = 11/25 * 180/ pi degrees
= 11/25 * 180/ pi degrees
= 126/ 5 degrees 
= (25 + 1/5) degrees
= 25 degrees (1/5 * 60) minutes              [As 1 degree = 60 minutes]
= 25 degrees 12 minutes
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