Question

[PYTHON]

Objective Complete the function definitions generateRandomPoint,isIncircle, and ApproximatePI generateRandomPoint(): Returns a list (x,y) where x and y are uniformly sampled from the range [0,4 isIncircle(x,y): Returns True if p is in the circle; otherwise, False (Note: The point p is in the circle if its distance from the center of the circle is less than or equal to the radius of the circle.) ApproximatePI (n): Generates n random points within the square and returns 4 P(A) Example #1 Input: 100eee Output: 3.1236 Example #2 Input: 1000000 Output: 3.141132 LAB ACTIVITY 15.19.1: LAB: Estimating Pi Using Probability (Difficulty: 2) 0/6 main.py Load default template... 1 import random 2 # DO NOT MODIFY THE SEED, DOING SO MAY YIELD AN ERRONEOUS RESULT 4 def generateRandomPoint): # Complete the implementation of the algorithm below s return [e,e] 10 11 def isIncircle(p): 12 # Complete the implementation of the algorithm below 13 14 return False 15 16 18 def ApproximatePI(n): 19 # Complete the implementation of the algorithm below 20 21 return e

Answer 1

Thanks for the question.
Here is the completed code for this problem.  Let me know if you have any doubts or if you need anything to change.
Thank You !!
================================================================================================
import  random

def generateRandomPoint():
    return [random.randint(0,4),random.randint(0,4)]


def isInCircle(x,y):
    d=(x**2+y**2)
    return d<1

def ApproximatePI(n):
    count_inside=0
    for i in range(n):
        random_point=generateRandomPoint()
        if isInCircle(random_point[0]/4.0,random_point[1]/4.0) is True:
            count_inside+=1
    return (4.0*count_inside)/n

print(ApproximatePI(100000))