Answer:
[tex]a = \frac{8A}{\pi {r}^{2} } + 1 \\ [/tex]
Step-by-step explanation:
[tex]A = \frac{1}{8} \pi {r}^{2} (a - 1) \\ [/tex]
First of all multiply through by 8 to eliminate the fraction
That's
[tex]8A = 8 \times \frac{1}{8} \pi {r}^{2} (a - 1) \\8 A = \pi {r}^{2} (a - 1)[/tex]
Divide both sides by πr²
[tex] \frac{8A}{\pi {r}^{2} } = \frac{\pi {r}^{2}(a - 1) }{\pi {r}^{2} } \\ a - 1 = \frac{8A}{\pi {r}^{2} } [/tex]
Move 1 to the other side of the equation to make a stand alone
We have the final answer as
[tex]a = \frac{8A}{\pi {r}^{2} } + 1 \\ [/tex]
Hope this helps you
