+132 A, B and C are three points on a plane such that AB = BC = 1 and CA = \(\sqrt3\) Draw three circles whose diameters are \(\overline {AB}, \overline {BC}\) and \(\overline {CA}\) respectively. The area of the region included in all three circles (the grey region below) is \(\dfrac a b \pi +\dfrac {\sqrt c} d\) in simplest form, so a, b, c, d are positive integers, a and b are relatively prime, and c is not divisible by the square of a prime. Enter the values of a, b, c, d in order, separating by commas.
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