Technology has significantly helped humans overcome natural obstacles by:
1. Improving Accessibility: Technologies like bridges, tunnels, and railways have made previously inaccessible terrains reachable.
2. Agricultural Advancements: Irrigation, fertilizers, and machinery have enabled farming in arid and difficult regions.
3. Weather Predictions: Satellites and forecasting systems help mitigate disasters like cyclones and floods.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).