Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![**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!](https://content.bartleby.com/qna-images/question/98ae3667-83ae-4ce7-ac69-d14987bf1ccb/ddf700f9-1361-40ba-a75f-bdf535c43016/17o9kfk_processed.png)
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!
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