A regular hexagon is inscribed in a circle of radius 5 cm. If x is the area inside the circle but outside the regular hexagon, then which one of the following is correct where n is positive real number?

OB = OA = radius

Also, \( \Large \angle AOB = 60 degree \ \left(\frac{360 \ degree}{6}=60 \ degree\right) \)

and \( \Large \angle OAB=\angle OBA = 60 degree \)

\( \Large \triangle AOB \)is an equilateral triangle.

Then, AB = 5 cm

so, area x = Area of circle - Area of hexagon

=\( \Large \pi r^{2}-\frac{3\sqrt{3}(a)^{2}}{2} \)

=\( \Large \frac{22}{7}\times (5)^{2}-\frac{3\sqrt{3}}{2}\times (5)^{2} \)

=78.57-64.95=\( \Large 13.62 cm^{2} \)