<p>non shaded area shown as 160 degree so the shaded area is only
(360-160-160) = 40 degree
therefore shaded area =
40/360 * pi * 6 * 6 = 4pi (D)
I think u did calculation error?</p>
<p>more explanation:
circle is 360 degree total
two intersecting lines will result same angle on sides behind it (160 on non shaded area, the other non shaded area is 160 making 320 degree total)
Therefore the shaded area angle total is 360-320 = 40 degree
total area of circle = pi * R^2 = pi *6 *6 = 36 pi
The shaded area = 36 pi * 40 / 360 = 40/10 * pi = 4pi</p>