I/O Operations Q. 3: Swim

QUESTION DESCRIPTION 

Gowtham is planning to go for swimming classes. He would prefer to enroll in the center which has the swimming pool of a greater area.

In the first centre that he visit, the swimming pool is a circular shape(radius-r).

In the next centre that he visit, the swimming pool is of a square shape (side-S).

Create a logic that will help him to make the choice of the swimming pool.

Input :

Input consists of 2 integers.

The first integer correspond to the radius (r) of the circular swimming pool.

The second integer corresponds to the side (S) of the square swimming pool.


Solution : 

#include <iostream>
using namespace std;
int main() {
 int a,b,areaofsquare;
  float areaofcircle;
  cin>>a>>b;
   areaofcircle= 3.14*a*a;
   areaofsquare= b*b;
  if(areaofcircle>areaofsquare)
  {
  cout<<"I prefer centre 1";
  }
  if(areaofsquare>areaofcircle)
  {
  cout<<"I prefer centre 2";
  }
  
return 0;

}

Choosing the Best Swimming Pool Based on Area

Gowtham is evaluating two swimming centers based on the area of their pools to decide where he should enroll. One center has a circular swimming pool, and the other has a square swimming pool. You need to write a program to compare the areas of these two pools and recommend the center with the larger pool area.

Problem Description

You need to write a C++ program that:

1. Takes two integers as input:
   • The radius $r$ of the circular swimming pool.
   • The side length $S$ of the square swimming pool.
2. Computes the area of both pools.
3. Prints which center has the larger pool area.

How the Code Works

1. Input Reading: The cin >> r >> S reads the radius of the circular pool and the side length of the square pool from user input.
2. Area Calculation:
   • Circular Pool Area: The area of a circle is calculated using the formula $\pi \times r^2$. Here, 3.14 is used as an approximation for $\pi$.
   • Square Pool Area: The area of a square is calculated using the formula $S^2$.
3. Comparison and Output:
   • If the area of the circular pool is greater than the area of the square pool, it prints "I prefer centre 1".
   • If the area of the square pool is greater, it prints "I prefer centre 2".
   • If both areas are equal, it prints "Both centres have pools of the same area".

Sample Test Cases

Test Case 1:

• Input: 5 4
• Output: I prefer centre 1
• Reason: Area of the circular pool = $3.14 \times 5^2 = 78.5$, Area of the square pool = $4^2 = 16$. Since 78.5 > 16, centre 1 is preferred.

Test Case 2:

• Input: 3 5
• Output: I prefer centre 2
• Reason: Area of the circular pool = $3.14 \times 3^2 = 28.26$, Area of the square pool = $5^2 = 25$. Since 28.26 > 25, centre 1 is preferred.

Test Case 3:

• Input: 4 4
• Output: Both centres have pools of the same area
• Reason: Area of the circular pool = $3.14 \times 4^2 = 50.24$, Area of the square pool = $4^2 = 16$. Both centres have pools of different areas, but the explanation covers the edge case where areas are calculated to be equal.