Bridgette has drawn a representation of a sphere with a radius of 3 units, using the graphs of a circle and an ellipse, as shown in the picture below on the left. She needs to determine the equations of the graphs that will generate the representation of the 3D sphere, as shown in the picture below on the right. What are possible equations of the circle and ellipse that Bridgette can use to create her 3D drawing? A. Circle: x2 + y2 = 9   Ellipse: x2/1 + y2/9 =1  B. Circle: x2 - y2 = 9    Ellipse: x2/9 + y2/4 =1  C. Circle: x2 + y2 = 9   Ellipse: x2/9 + y2/1 =1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Question

Bridgette has drawn a representation of a sphere with a radius of 3 units, using the graphs of a circle and an ellipse, as shown in the picture below on the left.

She needs to determine the equations of the graphs that will generate the representation of the 3D sphere, as shown in the picture below on the right.

What are possible equations of the circle and ellipse that Bridgette can use to create her 3D drawing?

A. Circle: x2 + y2 = 9   Ellipse: x2/1 + y2/9 =1 

B. Circle: x2 - y2 = 9    Ellipse: x2/9 + y2/4 =1 

C. Circle: x2 + y2 = 9   Ellipse: x2/9 + y2/1 =1 

D. Circle: x2 + y2 = 9   Ellipse: x2/9 - y2/4 =1 

 

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