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) \(377 \mathrm { ft } ^ { 2 }\)

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Definitions:

Public Park

An area of natural, semi-natural, or planted space set aside for human enjoyment and recreation or for the protection of wildlife or natural habitats.

Not Excludable

A characteristic of public goods where it is not possible to prevent people from using the good or service, regardless of whether they have paid for it.

Opportunity Cost

Sacrificing potential profits from different choices upon selecting a particular option.

Medical Research

The rigorous study and investigation conducted to gain insight and gather information on fields related to medicine and healthcare to improve health outcomes.