Question

Consider an image with coins of various sizes spread on a uniform background. Assume the coins DO touch each other and write a pseudo code to plot a histogram of the area of the coin (along the x-axis) vs the number of coins for a given area (along the y-axis). Write a python program to accomplish the same. If only a few coins overlap, determine the approximate number of coins.

Answer 1

# PLEASE LIKE THE SOLUTION
# FEEL FREE TO DISCUSS IN COMMENT SECTION
# PYTHON PROGRAM

import math
from matplotlib import pyplot as plt
import numpy as np

# main method
def main():
   # now read the total area
   area = float(input("Enter the total area "))

   coinN =[]
   coinAreaList = []

   for carea in range (1,11):

       # now start from the coin area 1
       radius =math.sqrt((carea/3.14))

       diameter = 2*radius

       # area covered by coin
       coinArea = diameter*diameter

       # number of coin = total Area / each coin area
       n = math.ceil((area/coinArea))
       coinAreaList.append(carea)
       coinN.append(n)

  

   # bar
   plt.bar(coinAreaList,coinN,tick_label = coinAreaList,width = 0.8, color = ['red'])
  
   # x
   plt.xlabel('coin area')
   # y
   plt.ylabel('number of coins')
  
   # pot
   plt.show()

  
# PROGRAM EXECUTION STARTS HERE
main()

# SAMPLE OUTPUT