<PRE><B>Question 277300</B>
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</PRE>