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}))
Correct Answer: Option C
Explanation
Perimeter of lunar portion = 3(pi) + (frac{3pi sqrt{2}}{2})
= 3 (pi)(1 + (frac{2}{2}))