Radio de un círculo que tiene un área igual a la suma del área de los círculos que tienen radios dados

Dados dos números enteros r1 y r2 , que representan el radio de dos círculos, la tarea es encontrar el radio del círculo que tiene un área igual a la suma del área de los dos círculos que tienen radios dados.

Ejemplos:

Entrada:
r1 = 8
r2 = 6
Salida:
10
Explicación:
Área de círculo con radio 8 = 201.061929 
Área de círculo con radio 6 = 113.097335
Área de círculo con radio 10 = 314.159265

Entrada:
r1 = 2
r2 = 2
Salida:
2,82843

Enfoque: siga los pasos a continuación para resolver el problema:

1. Calcular el área del primer círculo es a1 = 3.14 * r1 * r1 .
2. Calcular el área del segundo círculo es a2 = 3.14 * r2 * r2 .
3. Por lo tanto, el área del tercer círculo es a1 + a2 .
4. El radio del tercer círculo es sqrt (a3 / 3.14)

A continuación se muestra la implementación del siguiente enfoque.

// C++ implementation of
// the above approach
 
#include <bits/stdc++.h>
using namespace std;
 
// Function to calculate radius of the circle
// having area equal to sum of the area of
// two circles with given radii
double findRadius(double r1, double r2)
{
    double a1, a2, a3, r3;
 
    // Area of first circle
    a1 = 3.14 * r1 * r1;
 
    // Area of second circle
    a2 = 3.14 * r2 * r2;
 
    // Area of third circle
    a3 = a1 + a2;
 
    // Radius of third circle
    r3 = sqrt(a3 / 3.14);
 
    return r3;
}
 
// Driver Code
int main()
{
    // Given radius
    double r1 = 8, r2 = 6;
 
    // Prints the radius of
    // the required circle
    cout << findRadius(r1, r2);
 
    return 0;
}

// Java program to implement
// the above approach
import java.util.*;
 
class GFG
{
   
// Function to calculate radius of the circle
// having area equal to sum of the area of
// two circles with given radii
static double findRadius(double r1, double r2)
{
    double a1, a2, a3, r3;
 
    // Area of first circle
    a1 = 3.14 * r1 * r1;
 
    // Area of second circle
    a2 = 3.14 * r2 * r2;
 
    // Area of third circle
    a3 = a1 + a2;
 
    // Radius of third circle
    r3 = Math.sqrt(a3 / 3.14);
    return r3;
}
    
// Driver code
public static void main(String[] args)
{
   
    // Given radius
    double r1 = 8, r2 = 6;
 
    // Prints the radius of
    // the required circle
    System.out.println((int)findRadius(r1, r2));
}
}
 
// This code is contributed by code_hunt.

# Python program to implement
# the above approach
 
# Function to calculate radius of the circle
# having area equal to sum of the area of
# two circles with given radii
def findRadius(r1, r2):
    a1, a2, a3, r3 = 0, 0, 0, 0;
 
    # Area of first circle
    a1 = 3.14 * r1 * r1;
 
    # Area of second circle
    a2 = 3.14 * r2 * r2;
 
    # Area of third circle
    a3 = a1 + a2;
 
    # Radius of third circle
    r3 = ((a3 / 3.14)**(1/2));
    return r3;
 
# Driver code
if __name__ == '__main__':
 
    # Given radius
    r1 = 8; r2 = 6;
 
    # Prints the radius of
    # the required circle
    print(int(findRadius(r1, r2)));
 
# This code is contributed by 29AjayKumar

// C# program to implement
// the above approach
using System;
 
class GFG
{
 
// Function to calculate radius of the circle
// having area equal to sum of the area of
// two circles with given radii
static double findRadius(double r1, double r2)
{
    double a1, a2, a3, r3;
 
    // Area of first circle
    a1 = 3.14 * r1 * r1;
 
    // Area of second circle
    a2 = 3.14 * r2 * r2;
 
    // Area of third circle
    a3 = a1 + a2;
 
    // Radius of third circle
    r3 = Math.Sqrt(a3 / 3.14);
    return r3;
}
 
  // Driver code
  static void Main()
  {
     
    // Given radius
    double r1 = 8, r2 = 6;
 
    // Prints the radius of
    // the required circle
    Console.WriteLine((int)findRadius(r1, r2));
  }
}
 
// This code is contributed by susmitakundugoaldanga

<script>
 
// Javascript program of the above approach
 
 // Function to calculate radius of the circle
// having area equal to sum of the area of
// two circles with given radii
function findRadius(r1, r2)
{
    let a1, a2, a3, r3;
  
    // Area of first circle
    a1 = 3.14 * r1 * r1;
  
    // Area of second circle
    a2 = 3.14 * r2 * r2;
  
    // Area of third circle
    a3 = a1 + a2;
  
    // Radius of third circle
    r3 = Math.sqrt(a3 / 3.14);
    return r3;
}
   
 
    // Driver Code
     
    // Given radius
    let r1 = 8, r2 = 6;
  
    // Prints the radius of
    // the required circle
    document.write(findRadius(r1, r2));
  
</script>

10

Complejidad de tiempo : O (sqrt (n)) desde que se usa la función sqrt incorporada
Complejidad de espacio: O (1)