Write the Equation of the Circle with the Given Center $( 3,2 )$

question 127

Multiple Choice

Write the equation of the circle with the given center and radius.
-center $( 3,2 )$ , radius 12

• A) \(( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12\)
• B) \(( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 144\)
• C) \(( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 144\)
• D) \(( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12\)

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Definitions:

3-Pentanone

An organic compound and a ketone with the formula CH3COCH2CH2CH3, characterized by a five-carbon chain with a ketone functional group at the second carbon.

Pentanal

An aldehyde with the formula C5H10O, recognizable by its pungent odor.

HCN

Hydrogen cyanide, a highly toxic compound that is a colorless, volatile liquid with a faint, almond-like odor, used in the production of various chemicals.

Imine

Organic compounds characterized by the functional group C=N, formed by the condensation of an aldehyde or ketone with an amine.