True or False: Note: explaining your answer can either include a counterexample, a diagram, or a written explanation to support your answer. 4. True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula Area = πab (with 'a' the length of the semi-major axis and 'b' the length of the semi- minor axis).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 64E
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True or False: Note: explaining your answer can either include a counterexample, a diagram, or a
written explanation to support your answer.
4. True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse
with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the
formula Area = πab (with 'a' the length of the semi-major axis and 'b' the length of the semi-
minor axis).
Transcribed Image Text:True or False: Note: explaining your answer can either include a counterexample, a diagram, or a written explanation to support your answer. 4. True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula Area = πab (with 'a' the length of the semi-major axis and 'b' the length of the semi- minor axis).
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