CBSE Class 11-science Answered
what is the degree measure of a circle with an arc length of 22cm and with 100cm as the diameter?
Asked by | 13 Aug, 2012, 10:31: PM
Expert Answer
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
Answered by | 13 Aug, 2012, 10:45: PM
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