Solve for the Specified Variable $A = 3 \pi a ^ { 2 } ;$

question 106

Multiple Choice

Solve for the specified variable. Assume that all other variables are nonzero
- $A = 3 \pi a ^ { 2 } ;$ for $a$

• A) \(a = \sqrt { 3 \pi \mathrm { A } }\)
• B) \(a = \frac { \pm \sqrt { 3 \pi \mathrm { A } } } { 3 \pi }\)
• C) \(a = \frac { \pm \sqrt { \mathrm { A } \pi } } { 3 }\)
• D) \(a = \frac { \pm A \sqrt { 3 \pi } } { 3 \pi }\)

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Definitions:

Newman Projection

A method of visualizing the conformation of a chemical compound by projecting its bond structure along a chosen bond axis.

Anti Conformation

A spatial arrangement in molecules where substituents on adjacent carbons are positioned as far apart as possible, reducing steric strain and often seen in Newman projections.

Butane

A saturated hydrocarbon with the formula C4H10, consisting of four carbon atoms linked in a straight chain or branched.

C3-C4 Bond

In organic chemistry, the covalent bond between the third and fourth carbon atoms in a carbon chain.