McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
Question
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Chapter 13.1, Problem 37WE
To determine

To find the equation of the circle and sketch the graph

Expert Solution & Answer
Check Mark

Answer to Problem 37WE

The equation of the circle are x2+(y2)2=9

Explanation of Solution

Given information:

The circle has diameter RS where R  is (3,2) and S is (3,2)

Calculation:

The equation of the circle can be obtained as

The standard form of the equation of a circle with center is

  (xa)2+(yb)2=r2

Where (a,b) is the center and r is the radius

First find the radius

  d=RS=2r      [d=diameterr=radius]

Therefore,

  RS=(3(3))2+(22)2RS=(3+3)2+(0)2RS=(6)2RS=6

  2r=RS2r=6r=3       [divide both side by 2]

Find the center

  c=R+S2    [c=center]c=3+32,2+22c=02,42c=(0,2)

Again put the values of a=0,b=2 and r=3 on the standard form of the equation

  (x0)2+(y2)2=(3)2x2+(y2)2=9

Hence,

The equation of the circle are x2+(y2)2=9

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression x2+(y2)2=9 which is required to graph.

Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.

The graph is obtained as:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 13.1, Problem 37WE , additional homework tip  1McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 13.1, Problem 37WE , additional homework tip  2

Interpretation :

From the above graph, it can be observed that the center of a circle is (0,2) and radius is 3.

Chapter 13 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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