Simulating the area of a circle with radius R by throwing darts at a square of length 2*r

find_area_of_circle.py

# Finding the area of a circle through simulation?
import math
import random

def dart_throw_simulator(radius, runs):
    hits = 0
    for run in range(runs):
        rand_x = random.uniform(-2,2)
        rand_y = random.uniform(-2,2)
        c_squared = (rand_x ** 2) + (rand_y ** 2)
        outcome = math.sqrt(c_squared)
        if outcome < radius:
            hits += 1
    hit_ratio =  hits / runs
    total_area_square = (2*radius)**2
    return hit_ratio * total_area_square

%time assert(dart_throw_simulator(2, 100000) > 12 and dart_throw_simulator(2, 1000000) < 13)

>>CPU times: user 1.43 s, sys: 34.3 ms, total: 1.47 s
>>Wall time: 1.53 s