question posted but not answered

$A, B$ and $C$ are three points on a plane such that $AB = BC =1$ and $CA = \sqrt{3}$ 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 $\frac{a}{b} \pi + \frac{\sqrt{c}}{d}$ 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.

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