For VHF signal broadcasting, ________ km$$^2$$ of maximum service area will be covered by an antenna tower of height 30 m, if the receiving antenna is placed at ground. Let radius of the earth be 6400 km. (Round off to the Nearest Integer) (Take $$\pi$$ as 3.14)

For VHF signal broadcasting, the maximum service area covered by an antenna tower depends on the line-of-sight distance. The maximum distance $$d$$ at which the signal can be received is given by $$d = \sqrt{2Rh}$$, where $$R = 6400$$ km is the radius of the Earth and $$h = 30$$ m $$= 0.03$$ km is the height of the antenna tower.

Substituting the values: $$d = \sqrt{2 \times 6400 \times 0.03} = \sqrt{384}$$ km.

The maximum service area is $$A = \pi d^2 = \pi \times 384 = 3.14 \times 384 = 1205.76 \approx 1206$$ km$$^2$$.

Therefore, the maximum service area covered is $$\boxed{1206}$$ km$$^2$$.