Please review the image below. Produce the program in C++. Upload screenshots of Code and Output, as well as the source code.7 7. (Geometry: point in a circle?) Write a program that prompts the user to enter a point (x, y) andchecks whether the point is within the circle centered at (0, 0) with radius 10. For example, (4, 5)is inside the circle and (9, 9) is outside the circle, as shown in Figure belowy-axis(4,5)(0,0)(9,9)x-axisHint: A point is in the circle if its distance to (0, 0) is less than or equal to 10. The formula forcomputing the distance between two points is given by√(x2 − 1)² + (32 − Y₁ )²Test your program to test all cases. Two sample runs are shown here.Enter a point with two coordinates: 4 5 EnterPoint (4, 5) is in the circleEnter a point with two coordinates: 99Point (9, 9) is not in the circleEnter

Answered: checks whether the point is within the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please review the image below. Produce the program in C++. Upload screenshots of Code and Output, as well as the source code.

7. (Geometry: point in a circle?) Write a program that prompts the user to enter a point (x, y) and
checks whether the point is within the circle centered at (0, 0) with radius 10. For example, (4, 5)
is inside the circle and (9, 9) is outside the circle, as shown in Figure below
y-axis
(4,5)
(0,0)
(9,9)
x-axis
Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10. The formula for
computing the distance between two points is given by
√(x2 − 1)² + (32 − Y₁ )²
Test your program to test all cases. Two sample runs are shown here.
Enter a point with two coordinates: 4 5 Enter
Point (4, 5) is in the circle
Enter a point with two coordinates: 99
Point (9, 9) is not in the circle
Enter

Expert Solution

Step 1

#include <iostream>
#include <cmath>
using namespace std;

int main()
{
int cx, cy, radius, x, y, distance;

cout<<"Enter the center point(cx, cy):\n";
cin>>cx>>cy;

cout<<"Enter radius of the circle:\n";
cin>>radius;

cout<<"Enter the point(x, y) to check its position\n";
cin>>x>>y;

distance = sqrt( pow( (x - cx), 2 ) + pow( (y - cy), 2 ) );

if(distance < radius)
{
cout<<"Point" <<x,y)<<"in side circle";
}
else if(distance > radius)
{
cout<<"Point"<<(x,y)<<"is not in the circle";
}
else
{
cout<<"Point"<<(x,y)<<"is on the circle";
}

return 0;
}

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