In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

• A.3\(\pi\)\(\sqrt{2 - 1}\)cm
• B.\(\frac{9}{2}\)\(\pi\)cm
• C.3 \(\pi\)(1 + \(\frac{2}{2}\))
• D.3(1 + \(\frac{2}{2}\))
• E.