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The question foils every attempt at an answer because -- there is no such thing as the square root of a square, and -- there is no such thing as the diameter of a square.
2.5 inch bsp thread o.D
It refers to the diameter of the screw. More precisely, it is a 0.138" diameter screw. You can get it in with various head style and thread pitch.
Subtract the square of the width from the diameter. The square root of that is the length.
The taper angle is the angle where a thread is tapered as it is created. The formula to find it is to subtract the small diameter from the large diameter and multiply by 28, then divide by the length of the taper.