Two identical circles each of radius 4 cm intersect such that the circumference of each one passes through the centre of the other. What is the area (in cm2) of the intersecting region?

• A. \(\frac{{16\;\pi }}{3} - 4\sqrt 3\)
• B. \(\frac{{32\;\pi }}{3} - 4\sqrt 3\)
• C. \(\frac{{32\;\pi }}{3} - 8\sqrt 3\)
• D. \(\frac{{64\pi }}{3} - 16\sqrt 3\)