Solve the formula for the specified variable.
-$\mathrm{A}=3 \pi \mathrm{a}^{2}$ for $\mathrm{a}$
A) $a=\frac{ \pm \sqrt{3 \pi \mathrm{A}}}{3 \pi}$
B) $\mathrm{a}=\frac{ \pm \mathrm{A} \sqrt{3 \pi}}{3 \pi}$
C) $a=\frac{ \pm \sqrt{\mathrm{A} \pi}}{3}$
D) $a=\sqrt{3 \pi \mathrm{A}}$

Question

Quizplus · Accepted Answer

To solve for a, divide both sides of the equation by $3 \pi$.$\frac{\mathrm{A}}{3 \pi}=\mathrm{a}^{2}$Take the square root of both sides.$\sqrt{\frac{\mathrm{A}}{3 \pi}}=\mathrm{a}$Simplify.$\mathrm{a}=\frac{ \pm \sqrt{3 \pi \mathrm{A}}}{3 \pi}$

Solve the Formula for the Specified Variable A=3πa2\mathrm{A}=3 \pi \mathrm{a}^{2}A=3πa2 For a\mathrm{a}a

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