Take any Lat-Long Position across the globe.
Example
Center of NewYork,NY,USA
LATITUDE = 40.750422
LONGITUDE = -73.996328
Python code to generate 100 random Lat Long positions:
=====================================================================
import random
import sys
import math
outfile = open("output\randomLatLong_NY.txt", "w")
radius = 10000 #Choose your own radius
radiusInDegrees=radius/111300
r = radiusInDegrees
x0 = 40.84
y0 = -73.87
for i in range(1,100): #Choose number of Lat Long to be generated
u = float(random.uniform(0.0,1.0))
v = float(random.uniform(0.0,1.0))
w = r * math.sqrt(u)
t = 2 * math.pi * v
x = w * math.cos(t)
y = w * math.sin(t)
xLat = x + x0
yLong = y + y0
outfile.write (str(xLat) + "," + str(yLong) + '\n')
=====================================================================
To verify: Plot randomly generated Lat Longs on Map -
