Let 𝑆 be the portion of the plane 𝑧 = 2π‘₯ + 2𝑦 − 100 which lies inside the cylinder π‘₯2 + 𝑦2 = 1. If the surface area of 𝑆 is π›Όπœ‹, then the value of 𝛼 is equal to ___________.Β 

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