以下是使用Python计算圆周率的五种方法：
1、使用圆的半径计算圆周率：
import math
radius = 5
circumference = 2 * math.pi * radius
pi = circumference / (2 * radius)
print(pi)
2、使用圆的直径计算圆周率：
import math
diameter = 10
pi = math.pi * (diameter ** 2) / (2 * diameter)
print(pi)
3、使用蒙特卡罗方法估算圆周率：
import random
num_trials = 1000000
count_inside = 0
for i in range(num_trials):
x = random.uniform(-1, 1)
y = random.uniform(-1, 1)
if x ** 2 + y ** 2 <= 1:
count_inside += 1
pi = 4 * count_inside / num_trials
print(pi)
4、使用莱布尼茨级数估算圆周率：
import math
num_terms = 1000000
pi = 0
for i in range(num_terms):
term = (-1) ** i / (2 * i + 1)
pi += term
pi = 4 * pi
print(pi)
5、使用查普曼公式估算圆周率：
import math
num_terms = 1000000
pi = 0
for i in range(num_terms):
term = (4 * (i ** 2)) / (8 * i + 1)
pi += term
pi = pi * math.sqrt(8)
print(pi)
以上五种方法分别使用了不同的算法来计算或估算圆周率，具体实现细节可以根据需要进行调整。
from sys import stdout
scale = 10000
maxarr = 2800
arrinit = 2000
carry = 0
arr = [arrinit] * (maxarr + 1)
for i in xrange(maxarr, 1, -14):
total = 0
for j in xrange(i, 0, -1):
total = (total * j) + (scale * arr[j])
arr[j] = total % ((j * 2) - 1)
total = total / ((j * 2) - 1)
stdout.write("%04d" % (carry + (total / scale)))
carry = total % scale
