Let A be a point inside a regular polygon of 10 sides. Let $P_1, P_2,\ldots, P_{10} $ be the distances of A from the sides of the polygon.

Question

Let $A$ be a point inside a regular polygon of 10 sides. Let $P_1, P_2,\ldots, P_{10} $ be the distances of $A$ from the sides of the polygon. If each side is of length $2$ units, then find the value of $ P_ı + P_2 + \cdots + P_{10}$

I find out the area of the figure $ 10 \cot \frac \pi{10} $ . I found the question to be tough. Have no idea to do after that.