The Orbits' Envelope of the Projectiles

Suppose at initial height 00, one casts a projectile into the air with constant initial velocity vv but different elevation angles in the same vertical plane. The area of the set of all points that can be reached by the projectile is A=αv4g2.A=\alpha\frac {v^4}{g^2}. What is the value of positive number α?\alpha?

Neglect air resistance.

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