Q. A, B, C and D are points on the circumference of a circle. ABD is an equilateral triangle and AC is the diameter of the circle. Find the ratio of the perimeter of ABCD and the length of AC.

A. \(1+\frac{\sqrt[2]{3}}{2}\)

B. \(\frac{1}{2}+\sqrt[2]{3}\)

C. \(1+\sqrt[2]{3}\)

D. \(2+\sqrt[2]{3}\)

C. 1+\(\sqrt[2]{3}\)