5 The diagram below shows a sector of a circle \(O A B\). The chord \(A B\) divides the sector into a triangle and a shaded segment. Angle \(A O B\) is \(\frac { \pi } { 6 }\) radians.
The radius of the sector is 18 cm .
\includegraphics[max width=\textwidth, alt={}, center]{deec0d32-b031-4227-bc80-7150a0acbc94-06_467_428_614_790} Show that the area of the shaded segment is $$k ( \pi - 3 ) \mathrm { cm } ^ { 2 }$$ where \(k\) is an integer to be found.
\includegraphics[max width=\textwidth, alt={}, center]{deec0d32-b031-4227-bc80-7150a0acbc94-07_2491_1753_173_123}