Distance between two coordinates on earth is usually calculated using Haversine formula. This formula takes into consideration earth shape and radius. This is the code I use to calculate distance in meters.
def distance(loc1, loc2)
rad_per_deg = Math::PI/180 # PI / 180
rkm = 6371 # Earth radius in kilometers
rm = rkm * 1000 # Radius in meters
dlat_rad = (loc2[0]-loc1[0]) * rad_per_deg # Delta, converted to rad
dlon_rad = (loc2[1]-loc1[1]) * rad_per_deg
lat1_rad, lon1_rad = loc1.map {|i| i * rad_per_deg }
lat2_rad, lon2_rad = loc2.map {|i| i * rad_per_deg }
a = Math.sin(dlat_rad/2)**2 + Math.cos(lat1_rad) * Math.cos(lat2_rad) * Math.sin(dlon_rad/2)**2
c = 2 * Math::atan2(Math::sqrt(a), Math::sqrt(1-a))
rm * c # Delta in meters
end
puts distance([46.3625, 15.114444],[46.055556, 14.508333])
# => 57794.35510874037