I need a program written in C++ based on the parameters listed in the attachment, please. Thanks in advance **Instructions****Summary**The following formula gives the distance between two points, \((x_1,y_1)\) and \((x_2,y_2)\) in the Cartesian plane:\[\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]Given the center and a point on the circle, you can use this formula to find the radius of the circle.**Instructions**Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circle’s radius, diameter, circumference, and area. Your program must have at least the following functions:- **distance**: This function takes as its parameters four numbers that represent two points in the plane and returns the distance between them.- **radius**: This function takes as its parameters four numbers that represent the center and a point on the circle, calls the function `distance` to find the radius of the circle, and returns the circle’s radius.- **circumference**: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s circumference. (If \( r \) is the radius, the circumference is \( 2\pi r \).)- **area**: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s area. (If \( r \) is the radius, the area is \(\pi r^2\).) Assume that \(\pi = 3.1416\).Format your output with `setprecision(2)` to ensure the proper number of decimals for testing!

Answered: The following formula gives the…

Engineering

Computer Science

The following formula gives the distance between two points, (x,y.) and (X2.y-) in the Cartesian plane:

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

I need a program written in C++ based on the parameters listed in the attachment, please. Thanks in advance

**Instructions**

**Summary**

The following formula gives the distance between two points, \((x_1,y_1)\) and \((x_2,y_2)\) in the Cartesian plane:

\[
\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Given the center and a point on the circle, you can use this formula to find the radius of the circle.

**Instructions**

Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circle’s radius, diameter, circumference, and area. Your program must have at least the following functions:

- **distance**: This function takes as its parameters four numbers that represent two points in the plane and returns the distance between them.

- **radius**: This function takes as its parameters four numbers that represent the center and a point on the circle, calls the function `distance` to find the radius of the circle, and returns the circle’s radius.

- **circumference**: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s circumference. (If \( r \) is the radius, the circumference is \( 2\pi r \).)

- **area**: This function takes as its parameter a number that represents the radius of the circle and returns the circle’s area. (If \( r \) is the radius, the area is \(\pi r^2\).) Assume that \(\pi = 3.1416\).

Format your output with `setprecision(2)` to ensure the proper number of decimals for testing!

Process by which instructions are given to a computer, software program, or application using code.

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