The Roman Coliseum Is an Elliptical Amphitheater Measuring Approximately 188 $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$

question 37

Multiple Choice

The Roman Coliseum is an elliptical amphitheater measuring approximately 188 meters long and 156 meters wide.Find an equation to model the coliseum that is of the form​ $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ . ​

• A) \(\frac { x ^ { 2 } } { 6084 } - \frac { y ^ { 2 } } { 8836 } = 1\)
• B) \(\frac { x ^ { 2 } } { 8836 } + \frac { y ^ { 2 } } { 6084 } = 1\)
• C) \(\frac { x ^ { 2 } } { 8836 } + \frac { y ^ { 2 } } { 6084 } = 0\)
• D) \(\frac { x ^ { 2 } } { 188 ^ { 2 } } + \frac { y ^ { 2 } } { 156 ^ { 2 } } = 1\)
• E) \(\frac { x ^ { 2 } } { 6084 } + \frac { y ^ { 2 } } { 8836 } = 0\)

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