Random points within a circle in python, example output: https://www.desmos.com/calculator/4jdjtilzpl

randPoint_radius.py

# ==================================================
# Joachim testing radius pts
# 2025-05-21 11:53:08

import math
import random


def randPoint_radius(radius, origin_x=0, origin_y=0):
    # modified from https://stackoverflow.com/a/32277202/883015
    # radius = random() * radius
    radius = radius * math.sqrt(random.random())
    angleRad = random.random() * 2 * math.pi
    return (float(origin_x + radius * math.cos(angleRad)),
            float(origin_y + radius * math.sin(angleRad)))


G_TOTAL = 2000
G_RADIUS = 5
print(f'Generating {G_TOTAL} random points within a circle with r = {G_RADIUS}')

with open('~radius_results.CSV', 'w') as fp:
    fp.write('x, y\n')
    for i in range(0, G_TOTAL):
        pt = randPoint_radius(G_RADIUS)
        line = f'{pt[0]}, {pt[1]}'
        print(f'Point #{i}: \t{line}')
        fp.write(f'{line}\n')

print('done!')