The Roman Colosseum is an ellipse with major axis 620 ft. and minor axis 514 ft. 1.Find a², b², c² and the distance between the foci of the ellipse (2c). a² = * 2c = below. 2) A formula for the approximate circumference of an ellipse is C = 2π a = 6² = b c²= a²+b² 2 where a and b are the lengths shown in the figure Use the circumference formula to find the approximate circumference of the Roman Colosseum. Round your answer to two decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 62E
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The Roman Colosseum is an ellipse with major axis 620 ft. and minor axis 514 ft.
1.Find a², 6², c² and the distance between the foci of the ellipse (2c).
a²:
=
* 2c =
below.
2) A formula for the approximate circumference of an ellipse is C = 2π
a
* C =
2
b
6² =
a² +6²
2
where a and b are the lengths shown in the figure
Use the circumference formula to find the approximate circumference of the Roman Colosseum. Round your answer to two decimal places.
Transcribed Image Text:The Roman Colosseum is an ellipse with major axis 620 ft. and minor axis 514 ft. 1.Find a², 6², c² and the distance between the foci of the ellipse (2c). a²: = * 2c = below. 2) A formula for the approximate circumference of an ellipse is C = 2π a * C = 2 b 6² = a² +6² 2 where a and b are the lengths shown in the figure Use the circumference formula to find the approximate circumference of the Roman Colosseum. Round your answer to two decimal places.
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