Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
-$$A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$$
A) $r = \sqrt { \frac { 3 \mathrm {~A} } { \pi } }$
B) $r = \frac { 3 \pi } { A }$
C) $\mathrm { r } = 3 \sqrt { \mathrm { A } \pi }$
D) $r = \sqrt { \frac { \mathrm { A } } { 3 \pi } }$

Question

Quizplus · Accepted Answer

To solve for $r$, multiply both sides by 3 to get rid of the fraction, resulting in $3A = \pi r^2$. Then, divide by $\pi$ to isolate $r^2$, giving $r^2 = \frac{3A}{\pi}$. Finally, take the square root of both sides to solve for $r$, resulting in $r = \sqrt{\frac{3A}{\pi}}$.

Solve the Formula for the Indicated Letter A=13πr2 for rA = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } rA=31​πr2 for r

Solve the Formula for the Indicated Letter $A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$