How to calculate the middle of an area using coordinates obtained from google maps?

Question

Geometry

Hello. I have a task: You enter an organization in the textbox (for example, the store "pyaterochka"), all coordinates are read from google maps through Selenium Web Browser (not done yet).
It turns out a certain area of ​​organizations. We need to find the middle of this area.
How to randomly collect all the coordinates like there is a representation, but what's next ... How to form an area from them and find the middle is not clear.
I ask for help

Answer 1

Just like the middle of any segment is calculated.
Xmin + ((Xmax - Xmin) / 2)
where you have:
Xmin is Min(over all latitudes)
Xmax is Max(over all latitudes)
Same for longitude

Answer 2

1. Convert the coordinates to the plane .
2. The task is reduced to finding the center of the polygon