Solve the Problem $x$ Feet Wide Is Inscribed in a Circle of Radius 36

question 261

Multiple Choice

Solve the problem.
-A rectangle that is $x$ feet wide is inscribed in a circle of radius 36 feet. Express the area of the rectangle as a function of $x$ .

• A) \(\mathrm { A } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \sqrt { 2,592 - \mathrm { x } ^ { 2 } }\)
• B) \(A ( x ) = x \sqrt { 5,184 - x ^ { 2 } }\)
• C) \(\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 5,184 - \mathrm { x } ^ { 2 } \right)\)
• D) \(\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \sqrt { 3,888 - \mathrm { x } }\)

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Definitions:

Theory Of Mind

The skill to identify and attribute one's own and others' mental states, including beliefs, intents, desires, emotions, and understanding, realizing that others possess different beliefs, desires, and intentions.

Autism Spectrum Disorder

A range of neurodevelopmental conditions characterized by difficulties in social interaction, communication, and restricted, repetitive patterns of behavior or interests.

Concrete Operational

A stage of cognitive development in children, as proposed by Piaget, where they are able to think logically about concrete events.

Autism Spectrum Disorder

A disorder affecting development that manifests as challenges in communicating and interacting socially, along with limited and repetitive ways of thinking and behaving.