Find an Equation of the Circle with the Given Center $\frac { ( x - h ) ^ { 2 } } { a ^ { 2 } } + \frac { ( y - k ) ^ { 2 } } { b ^ { 2 } } = 1$

Multiple Choice

Find an equation of the circle with the given center and radius.
-The area of an ellipse given by the equation $\frac { ( x - h ) ^ { 2 } } { a ^ { 2 } } + \frac { ( y - k ) ^ { 2 } } { b ^ { 2 } } = 1$ is $\pi a b$ . A small park in the shape of an ellipse covers an area of $1884.96$ square meters. The park measures 60 meters from east to west, what is the distance from north to south?

A) $900 \mathrm {~m}$
B) $400 \mathrm {~m}$
C) $60 \mathrm {~m}$
D) $40 \mathrm {~m}$