# Thread: rearranging equation to give....

1. ## rearranging equation to give....

S=pi/4 x d^2/K x (s_i+s_ii) n x o x pi x d/K x sigma x s_i

how can i go about rearranging the above equation if I want to find out the value of d^2 (d squared). Any help on this would be awesome. Thanks

2. ## Re: rearranging equation to give....

Can you confirm your equation is $\displaystyle \displaystyle S = \frac{\pi}{4}\times \frac{d^2}{K}\times (s_{i}+s_{11})\times n \times o \times \pi \times \frac{d}{K}\times \sigma \times s_i$ ?

3. ## Re: rearranging equation to give....

I pickslides is correct (but $\displaystyle s_{ii}$, not $\displaystyle s_{11}$), then S is a whole bunch of stuff times $\displaystyle d^3$: $\displaystyle S= =Ad^3$. Divide both sides by A: $\displaystyle d^3= \frac{S}{A}$ and then take the third root of both sides: $\displaystyle d= \sqrt[3]{\frac{S}{A}}$. If you really want $\displaystyle t^2$, finish by squaring both sides: $\displaystyle d^2= \left(\sqrt[3]{\frac{S}{A}}\right)^2= \sqrt[3]{\frac{S^2}{A^2}}= \left(\frac{S}{A}\right)^{2/3}$.