Question 4
The figure below is made of a circle, a square and a regular hexagon. The circle is centred at $O$ and has an area of $36\text{ cm}^2$. The total area of the unshaded regions in the square and hexagon is 3 times the area of the shaded region. What is the combined area (in $\text{cm}^2$) of the square and hexagon? Use the arrangement shown: $O$ is their common vertex, and the shaded parts are the circle sectors inside the two polygons.
