Question

Functional π Take the sample solutions for approximating π from labZ and put each solution into its own function. You'll need to decide: 1. What are the inputs that this function requires? 2. What is the output that this function produces? 3. What is an appropriate name for this function? You should create 3 separate functions 1, One that approximates π using the area of a circle with a specihed number of trials (this tie is called estimate. Py), 2. One that approximates π using the area of a circle to a specified precision (this file is called auto-w), 3, One that approximates π using the area of a circle with fixed-point arithmetic (this file is called fixed-W). You do not need to write your own code for estimating π in this lab-you are given explicit permission to copy the code that estimates π from the sample solutions for lab 7. Your responsibility for this lab is to write functions that contain the code from the sample solutions. You are, of course, permitted to use your own solutions from lab 7 if you want The functions that you write should not call the input function. Instead, all keyboard input should be done in the main part of the script and the main part of the script should call the methods you wrote with strings already converted to numbers.

last 2pictures are lab7，just need to do the first picture，dont do the lab 7

Answer 1

#include <iostream>
#include <time.h>

using namespace std;

int main()
{
srand(time(NULL));

int n;
double rand_x,rand_y,pi;
double c_count=0; // will count the number of random points inside the circle
double s_count=0; // will count the number of points inside the square(ofcorse total number of points)
cout<<"\n Enter the number of trials : ";
cin>>n;

for(int i =0;i<n;i++){
rand_x = double(rand() % (n + 1)) / n;
rand_y = double(rand() % (n + 1)) / n;

if(rand_x*rand_x+rand_y*rand_y<=1)
c_count++;

s_count++;

}
cout<<"\n"<<c_count<<" "<<s_count;

pi=4*(c_count/s_count);
cout<<"\n estimated value of pi after "<<n<<" trials is : "<<pi;

return 0;
}