Question

: Design (pseudocode) and implement (source code) a program (name it Circles) to determine if a circle is either completely inside, overlapping with, or completely outside another circler. The program asks the user to enter the center point (X1, Y1) and the radius (R1) for the first circle C1, and the center point (X2, Y2) and the radius (R2) for the second circle C2. The program then determines if the second circle C2 is either completely inside, or overlapping with, or completely outside the first circle C1. Hint: use the sum of R1 and R2 and the distance between the centers to solve the problem. Document your code, properly label the input prompts, and organize the outputs as shown in the following sample runs. Sample run 1: Circle 1 center is: (0,0) Circle 1 radius is: 6 Circle 2 center is: (1,1) Circle 2 radius is: 1 Judgment: Circle 2 is completely inside circle 1 Sample run 2: Circle 1 center is: (0,0) Circle 1 radius is: 2 Circle 2 center is: (7,7) Circle 2 radius is: 1 Judgment: Circle 2 is completely outside circle 1 Sample run 3: Circle 1 center is: (0,0) Circle 1 radius is: 3 Circle 2 center is: (2,2) Circle 2 radius is: 3 Judgment: Circle 2 is overlapping with circle 1

Answer 1

Answer:-

The below is the required source code for the given problem

PSEUDOCODE:-

1.  Start
2.  Input x1, y1 and r1
3.  Input x2, y2 and r2
4.  d = sqrt((x1-x2)^2 + (y1-y2)^2)
5.  r = r1 + r2
6.  If d >= r
7.    Print "Circle 2 is completely outside circle 1"
8.  Else if d < r && (x1 + r1 > x2 + r2 && y1 + r1 > y2 + r2)
9.    Print "Circle 2 is completely inside circle 1"
10. Else
11.   Print "Circle 2 is overlapping with circle 1"
12. Stop

CODE:-

using System;

class Circles{
    public static void Main (string[] args) {
        string userInput;
        int x1, y1, r1;//Coordinate and radius of first circle
        int x2, y2, r2;//Coordinate and radius of second circle

        //Input details for circle 1
        Console.Write("Circle 1 center is:      ");
        userInput = Console.ReadLine();//Read coordinate of first circle
        Console.Write("Circle 1 radius is:      ");
        x1 = Convert.ToInt32(userInput[1]);
        y1 = Convert.ToInt32(userInput[3]);
        r1 = Convert.ToInt32(Console.ReadLine());//Read radius of first circle

        //Input details for circle 2
        Console.Write("Circle 2 center is:      ");
        userInput = Console.ReadLine();//Read coordinate of first circle
        Console.Write("Circle 2 radius is:      ");
        x2 = Convert.ToInt32(userInput[1]);
        y2 = Convert.ToInt32(userInput[3]);
        r2 = Convert.ToInt32(Console.ReadLine());//Read radius of first circle

        //Find distance between two centers
        double d = Math.Sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
        int r = r1 + r2;//Sum of radii

        if(d >= r){//circle 2 is outside circle 1
            Console.WriteLine("Judgement:               Circle 2 is completely outside circle 1");
        }
        else if(d < r && (x1 + r1 > x2 + r2 && y1 + r1 > y2 + r2)){//circle 2 is inside circle 1
            Console.WriteLine("Judgement:               Circle 2 is completely inside circle 1");
        }
        else{//circle 2 is overlapping with circle 1
            Console.WriteLine("Judgement:               Circle 2 is overlapping with circle 1");
        }
    }
}

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