Whakaoti i te 192pi=r^2pi8

$$192 \pi = r ^ { 2 } \pi 8$$

Whakaoti mō r

$$r=2\sqrt{6}\approx 4.898979486$$

$$r=-2\sqrt{6}\approx -4.898979486$$

Ngā Upane mā te Kimi Pūtakerua

Me whakakore te \pi ki ngā taha e rua.

$$192=r^{2}\times 8$$

Whakawehea ngā taha e rua ki te 8.

$$\frac{192}{8}=r^{2}$$

Whakawehea te 192 ki te 8, kia riro ko 24.

$$24=r^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$r^{2}=24$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$r=2\sqrt{6} r=-2\sqrt{6}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me whakakore te \pi ki ngā taha e rua.

$$192=r^{2}\times 8$$

Whakawehea ngā taha e rua ki te 8.

$$\frac{192}{8}=r^{2}$$

Whakawehea te 192 ki te 8, kia riro ko 24.

$$24=r^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$r^{2}=24$$

Tangohia te 24 mai i ngā taha e rua.

$$r^{2}-24=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -24 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\left(-24\right)}}{2}$$

Pūrua 0.

$$r=\frac{0±\sqrt{-4\left(-24\right)}}{2}$$

Whakareatia -4 ki te -24.

$$r=\frac{0±\sqrt{96}}{2}$$

Tuhia te pūtakerua o te 96.

$$r=\frac{0±4\sqrt{6}}{2}$$

Nā, me whakaoti te whārite r=\frac{0±4\sqrt{6}}{2} ina he tāpiri te ±.

$$r=2\sqrt{6}$$

Nā, me whakaoti te whārite r=\frac{0±4\sqrt{6}}{2} ina he tango te ±.

$$r=-2\sqrt{6}$$

Kua oti te whārite te whakatau.

$$r=2\sqrt{6} r=-2\sqrt{6}$$