pi = 0
N = 100
#代码在一行中无法完全表达，可以使用\来换行
for k in range(N):
    pi += 1 / pow(16, k) * (\
        4 / (8 * k + 1) - 2 / (8 * k + 4) - \
        1 / (8 * k + 5) - 1 / (8 * k + 6))
print("圆周率值是：{}".format(pi))

蒙特卡罗方法

from random import random
from time import perf_counter
DARTS = 1000 * 1000
hits = 0.0
start = perf_counter()
for i in range(1, DARTS + 1):
    x, y = random(), random()
    dist = pow(x ** 2 + y ** 2, 0.5)
    if dist <= 1.0:
        hits = hits + 1
pi = 4 * (hits / DARTS)
print("圆周率值是：{}".format(pi))
print("运行时间是：{:.5f}s".format(perf_counter() - start))

因为使用随机数，所以求得圆周率有一定的误差