Question

Выражение переменных из формул

Answer 1

1)
$s = \pi \times {r}^{2} \\ r = \sqrt{ \frac{s}{\pi} }$
2)
$v = {a}^{2} \times h \\ a = \sqrt{ \frac{v}{h} } \\h = \frac{v}{ {a}^{2} }$
3) Р=2(а+в)
$a = \frac{p}{2} - b \\ b = \frac{p}{2} - a$
4)
$s = \frac{ah}{2} \\ a = \frac{s \times 2}{h} \\ h = \frac{s \times 2}{a}$
5)
$v = \pi {r}^{2} h \\ r = \sqrt{ \frac{v}{h\pi} } \\ h = \frac{v}{\pi {r}^{2} }$
6)
$v = \frac{1}{3} \pi {r}^{2} h \\ r = \sqrt{ \frac{3v}{h\pi} } \\ h = \frac{3v}{\pi {r}^{2} }$

7)
$s = \frac{\pi {d}^{2} }{4} \\ d = \sqrt{ \frac{s \times 4}{\pi} }$
8)
$s = \frac{abc}{4r} \\ r = \frac{abc}{s \times 4} \\ a = \frac{s4r}{bc} \\ b = \frac{s \times 4r}{ac} \\ c = \frac{s \times 4r}{ab}$
9)
$s = \frac{a + b}{2} \times h \\ h = \frac{2s}{a + b } \\ a = \frac{s2}{h} - b \\ b = \frac{2s}{h} - a$