The radius of the circle is : sqrt [ (100) / pi ] = 10 / sqrt (pi)
We can find 1/2 of the length of the side of the triangle thusly :
[ (1/2)x ] / sin (60) = [10/ sqrt (pi)] / sin (30)
x / [ 2 sqrt (3) /2 ] = 2 * 10 / sqrt(pi)
x / sqrt (3) = 20/ sqrt(pi)
x = 20 sqrt (3) / sqrt (pi) = 20 sqrt (3/pi) ≈ 19.54 cm
