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Have my doubts about the figures that you have quoted. I think its 270 degrees and not 240. In a balance beam 360 is not possible. But providing 360 is possible with conformal arrays and multiple switching between the subarrays. (Problem being the switching between the subarrays and coaxial...

True, but initially how do you know that missile is headed towards Gujarat? Thus initially 360 degree beam-scan is required but later may not. 360 azimuth might not be practical in some cases but around 290 degrees might be sufficient. What other radar are you talking about (subarrays??)

A limiting case of square is a rectangle (that is what i meant).

We have conformal array which is 1.54 mm thick on the surface (for communication). With prototypes.

Oval is fine but there will be blind spots at the curvature. Circle, square, hexagon, triangle would be best suited.

Its possible. But the problem is will increase the RCS since antenna is a metal. Requires more number of array elements for the same performance

Needs 360 degree azimuthal and 90 degree elevation coverage.

Can be done but beamsteering will not be possible.