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

question 32

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) \(40 \mathrm {~m}\)

---

Definitions:

Bed Rest

A medical recommendation to stay in bed for therapeutic reasons for a period of time, often to promote healing or recovery.

Visually Impaired

A term describing individuals who have reduced vision that cannot be corrected to normal levels through usual means such as glasses or contact lenses.

Braille Sticker

Adhesive labels embossed with Braille characters that can be attached to various objects, aiding visually impaired individuals in identifying them.

Call Button

A device used by patients to alert healthcare providers or caregivers to their need for assistance.