   Chapter 10.4, Problem 24E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Use the Distance Formula to show that the circle with center ( 0, 0 ) and radius length r has the equation x 2 + y 2 = r 2 .

To determine

To prove:

The circle with centre (0, 0) and radius r has the equation x2+y2=r2 using distance formula.

Explanation

The circle with the centre (0, 0) and radius r.

The above figure is circle and is drawn with centre (0, 0) and the radius r.

Let (x,y) be the points on the circle.

Hence the distance between the point (0, 0) and (x, y) points is the radius of the circle.

Using distance formula for finding the length of the radius r as below,

r=(x-0)2+(y-0)2

Simplifying the above expression as below,

r=(x)2+(y)2

Take square root on both sides of the above expression,

(r)2=

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 