import math
n = 1000
a = 0.0
r = 0.0
lat = 0.0
lon = 0.0
i = 0
j = 0

pi = 3.14159265359
lat = -(pi + pi / n) / 2
sum = 0.0
r = 3670000.0
for i in range(n):
    lat += pi / n
    lon = -(pi + pi/ n) / 2
    for j in range(n):
        lon += pi / n
        sum += math.cos(lon) * math.cos(lat) * math.cos(lat)
p = 1370
a = 4 * pi * r * r
print('klot', math.pow(( pi * r / n), 2) * sum * p / a)
print('platta', pi * math.pow(r, 2) * p / a)