An Arch Is a Semi-Ellipse 6 Meters Wide and 3 $\quad \frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 3 } = 1$

question 20

Multiple Choice

An arch is a semi-ellipse 6 meters wide and 3 meters high.Write the equation of the ellipse if the ellipse is centered at the origin.

• A) \(\quad \frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 3 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\quad \frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 6 } = 1\)
• E) none of these