How to find a set of lat / long pairs surrounding a radius of 5 miles from a specific place

Question

How to find a set of lat / long pairs surrounding a 5 mile radius of a specific location, expressed in lat / long or as an address.

Answer 1

First you decide how many pairs (lat, lon) you want to have:
You may want to have 4 ropes forming a square around a central point.
Or you decide that the center does not have a point around the center.

Then you use a projection from lat / lon to meters, for example EquiDistantProjetion.

This allows you to convert the lat / lon center to Cartesian counters, where you can calculate how you learned it at school.

Now you have the center in Cartesian meters:
Then you use the polar coordinate form of the coordinate (r, phi) to calculate the corner points of the square or N-gon. (center X + r * sin (phi), center Y + r * cos (phi)).

Finally, you must use the inverse transformation to convert your coordinate pairs back to lat / lon.

EquiDistantProjection works up to 100 miles away. It does not work much above 80 degrees. (Polar region)