Solve for the indicated variable.
-$A = 2 \pi a ^ { 2 }$, for $a$
A) $a = \sqrt { 2 \pi \mathrm { A } }$
B) $a = \frac { \pm A \sqrt { 2 \pi } } { 2 \pi }$
C) $ a = \frac { \pm \sqrt { 2 \pi \mathrm { A } } } { 2 \pi }$
D) $a = \frac { \pm \sqrt { \mathrm { A } \pi } } { 2 }$

Question

Quizplus · Accepted Answer

To solve for $a$, divide both sides of the equation by $2\pi$:$$A = 2 \pi a ^ { 2 }$$$$\frac{A}{2\pi} = a ^ { 2 }$$$$a = \pm \sqrt { \frac{A}{2\pi} }$$$$ a = \frac { \pm \sqrt { 2 \pi \mathrm { A } } } { 2 \pi }$$

Solve for the Indicated Variable A=2πa2A = 2 \pi a ^ { 2 }A=2πa2

Solve for the Indicated Variable $A = 2 \pi a ^ { 2 }$