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pi/12 = (pi/12)/(2pi) = 1/24 of a circle ( = 15 degrees).
Converting radian into degree: 5π/12 radian = {(5π x 180)/(12 x π)}o = 75o So, cos(5π/12) is equivalent to cos75o and cos 75o = 0.92175126972.
1 degree = pi*radian/180 So therefore 15 times pi*radian/180 = pi*radian/12
A = arcsin 12
Multiply 12 by pi (3.14) and voila; you should have a little over 37 or 38 maybe?