Find an Equation of the Circle with the Given Center $\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 324 } = 1$

question 5

Multiple Choice

Find an equation of the circle with the given center and radius.
-A bridge with a semi-elliptical arch extends over a river as shown. Find an equation of the ellipse that represents the arch of the bridge.

• A) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 324 } = 1\)
• B) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 81 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 144 } = 1\)
• D) \(\frac { x ^ { 2 } } { 324 } + \frac { y ^ { 2 } } { 144 } = 1\)

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