Math mini-contest trigonometry problem for Day 6 on D.Buzz for May 2021 😎

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Math mini-contest problem for Day 6 on D.Buzz for May 2021 😎

Holovision needs to design a 50-sided regular polygon for his new holographic project. Given any four consecutive vertices EFGH, the distance of E from H is 36 centimeters. What is the area of the polygon?