Réitigh pir^2=48

$$\pi r ^ { 2 } = 48$$

Réitigh do r.

$$r=4\sqrt{\frac{3}{\pi }}\approx 3.908820095$$

$$r=-4\sqrt{\frac{3}{\pi }}\approx -3.908820095$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Roinn an dá thaobh faoi \pi .

$$\frac{\pi r^{2}}{\pi }=\frac{48}{\pi }$$

Má roinntear é faoi \pi cuirtear an iolrúchán faoi \pi ar ceal.

$$r^{2}=\frac{48}{\pi }$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$r=\frac{12}{\sqrt{3\pi }} r=-\frac{12}{\sqrt{3\pi }}$$

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Bain 48 ón dá thaobh.

$$\pi r^{2}-48=0$$

Tá an chothromóid seo i bhfoirm chaighdeánach: ax^{2}+bx+c=0. Cuir \pi in ionad a, 0 in ionad b, agus -48 in ionad c san fhoirmle chearnach, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\pi \left(-48\right)}}{2\pi }$$

Cearnóg 0.

$$r=\frac{0±\sqrt{-4\pi \left(-48\right)}}{2\pi }$$

Méadaigh -4 faoi \pi .

$$r=\frac{0±\sqrt{\left(-4\pi \right)\left(-48\right)}}{2\pi }$$

Méadaigh -4\pi faoi -48.

$$r=\frac{0±\sqrt{192\pi }}{2\pi }$$

Tóg fréamh chearnach 192\pi .

$$r=\frac{0±8\sqrt{3\pi }}{2\pi }$$

Réitigh an chothromóid r=\frac{0±8\sqrt{3\pi }}{2\pi } nuair is ionann ± agus plus.

$$r=\frac{12}{\sqrt{3\pi }}$$

Réitigh an chothromóid r=\frac{0±8\sqrt{3\pi }}{2\pi } nuair is ionann ± agus míneas.

$$r=-\frac{12}{\sqrt{3\pi }}$$

Tá an chothromóid réitithe anois.

$$r=\frac{12}{\sqrt{3\pi }} r=-\frac{12}{\sqrt{3\pi }}$$