The following formula gives the distance between two points, (x,y.) and (X2.y-) in the Cartesian plane:
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
Related questions
Question
I need a
![**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!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98ae3667-83ae-4ce7-ac69-d14987bf1ccb%2Fddf700f9-1361-40ba-a75f-bdf535c43016%2F17o9kfk_processed.png&w=3840&q=75)
Transcribed Image Text:**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!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education