SOLUTION: If a central angle of measure 30degrees is subtended by a circular arc of length 6 meters, how many meters in length is the radius of the circle?

Question 277300: If a central angle of measure 30degrees is subtended by a circular arc of length 6 meters, how many meters in length is the radius of the circle?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
If a central angle of measure 30degrees is subtended by a circular arc of length 6 meters, how many meters in length is the radius of the circle?
If the radius of the circle is R then the circumference is pi*2*R so we have:
30/360 = 6/(2*R*pi)
30 = (6*360)/2*R+pi)
30*(2*R*pi) = 6*360
2*R*pi = 72
R = 72/(2*pi)
R = 36/pi
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