solve for D
B = L/(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$)
B(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$) = L
(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$) = L/B
$${{\mathtt{D}}}^{{\mathtt{2}}}$$ = L/(B*4pi)
D = $${\sqrt{{\frac{{\mathtt{L}}}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{piB}}\right)}}}}$$
solve for D
B = L/(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$)
B(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$) = L
(4$${\mathtt{\pi}}$$$${{\mathtt{D}}}^{{\mathtt{2}}}$$) = L/B
$${{\mathtt{D}}}^{{\mathtt{2}}}$$ = L/(B*4pi)
D = $${\sqrt{{\frac{{\mathtt{L}}}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{piB}}\right)}}}}$$