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

question 21

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 homeowner is building an elliptical swimming pool that is 20 feet from end to end at its longest point, and 12 feet from side to side at its widest point. Find the area covered by the swimming pool. Round to the nearest tenth of a foot if necessary.

• A) \(11,309.7 \mathrm { ft } ^ { 2 }\)
• B) \(188.5 \mathrm { ft } ^ { 2 }\)
• C) \(754 \mathrm { ft } ^ { 2 }\)
• D) \(377 \mathrm { ft } ^ { 2 }\)