Whakaoti i te 4pi^2200000/12*left(1-03^2right){left(1/44right)}^2

$$\frac{ 4 { \pi }^{ 2 } 200000 }{ 12 \times \left( 1- { 03 }^{ 2 } \right) } { \left( \frac{ 1 }{ 44 } \right) }^{ 2 }$$

Aromātai

$$\frac{12500\pi ^{2}}{363}\approx 339.862410506$$

Ngā Upane Otinga

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{200000\pi ^{2}}{3\left(1-0^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Tātaihia te 0 mā te pū o 2, kia riro ko 0.

$$\frac{200000\pi ^{2}}{3\left(1-0\right)}\times \left(\frac{1}{44}\right)^{2}$$

Tangohia te 0 i te 1, ka 1.

$$\frac{200000\pi ^{2}}{3\times 1}\times \left(\frac{1}{44}\right)^{2}$$

Whakareatia te 3 ki te 1, ka 3.

$$\frac{200000\pi ^{2}}{3}\times \left(\frac{1}{44}\right)^{2}$$

Tātaihia te \frac{1}{44} mā te pū o 2, kia riro ko \frac{1}{1936}.

$$\frac{200000\pi ^{2}}{3}\times \frac{1}{1936}$$

Me whakarea te \frac{200000\pi ^{2}}{3} ki te \frac{1}{1936} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{200000\pi ^{2}}{3\times 1936}$$

Me whakakore tahi te 16 i te taurunga me te tauraro.

$$\frac{12500\pi ^{2}}{3\times 121}$$

Whakareatia te 3 ki te 121, ka 363.

$$\frac{12500\pi ^{2}}{363}$$

Whakaroha

$$\frac{12500 \pi ^ {2}}{363} = 339.8624105058319$$

Ngā Upane Otinga

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{200000\pi ^{2}}{3\left(1-0^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Tātaihia te 0 mā te pū o 2, kia riro ko 0.

$$\frac{200000\pi ^{2}}{3\left(1-0\right)}\times \left(\frac{1}{44}\right)^{2}$$

Tangohia te 0 i te 1, ka 1.

$$\frac{200000\pi ^{2}}{3\times 1}\times \left(\frac{1}{44}\right)^{2}$$

Whakareatia te 3 ki te 1, ka 3.

$$\frac{200000\pi ^{2}}{3}\times \left(\frac{1}{44}\right)^{2}$$

Tātaihia te \frac{1}{44} mā te pū o 2, kia riro ko \frac{1}{1936}.

$$\frac{200000\pi ^{2}}{3}\times \frac{1}{1936}$$

Me whakarea te \frac{200000\pi ^{2}}{3} ki te \frac{1}{1936} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{200000\pi ^{2}}{3\times 1936}$$

Me whakakore tahi te 16 i te taurunga me te tauraro.

$$\frac{12500\pi ^{2}}{3\times 121}$$

Whakareatia te 3 ki te 121, ka 363.

$$\frac{12500\pi ^{2}}{363}$$