Question

2228= ($\pi$ * x²/2) + x² determine o valor de x

Answer 1

$2228=\frac{\pi x^2}{2} + x^2 = x^2 (\frac{\pi}{2} + 1) \\ \\ \therefore x^2 = \frac{2228}{(\frac{\pi}{2} + 1)} \\ \\ \therefore x = \pm \sqrt{ \frac{2228}{(\frac{\pi}{2} + 1)}}$

Numericamente,

$x = \pm \sqrt{ \frac{2228}{(\frac{\pi}{2} + 1)}} \approx \pm 29.44$