Question

Change the subject of formula for $d$

$T=\frac{1}{r}\sqrt{\frac{T}{\pi d}}$

• A. $\frac{1}{\pi r^{3}T}$
• B. $\frac{3}{\pi r^{2}T}$
• C. $\frac{3}{\pi rT}$
• D. $\frac{1}{\pi r^{2}T}$

Answer 1

The correct option is D $\frac{1}{\pi r^{2}T}$

Given equation is: $T=\frac{1}{r}\sqrt{\frac{T}{\pi d}}$

On squaring both sides, we get

$T^2=\frac{1}{r^2}\left(\frac{T}{\pi d}\right)$

$T^2{r}^2\pi d=T$

$\therefore d=\frac{1}{\pi r^{2}T}$