Whakaoti i te sqrt{(1300*10^6)/8*3986*10^14}6378137

$$\sqrt { \frac { ( 1300 \times 10 ^ { 6 } ) } { 8 \times 3986 \times 10 ^ { 14 } } } 6378137$$

Aromātai

$$\frac{6378137\sqrt{25909}}{7972000}\approx 128.781025456$$

Ngā Upane Otinga

Me whakakore tahi te 4\times 10^{6} i te taurunga me te tauraro.

$$6378137\sqrt{\frac{325}{2\times 3986\times 10^{8}}}$$

Whakareatia te 2 ki te 3986, ka 7972.

$$6378137\sqrt{\frac{325}{7972\times 10^{8}}}$$

Tātaihia te 10 mā te pū o 8, kia riro ko 100000000.

$$6378137\sqrt{\frac{325}{7972\times 100000000}}$$

Whakareatia te 7972 ki te 100000000, ka 797200000000.

$$6378137\sqrt{\frac{325}{797200000000}}$$

Whakahekea te hautanga \frac{325}{797200000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$6378137\sqrt{\frac{13}{31888000000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{13}{31888000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{13}}{\sqrt{31888000000}}.

$$6378137\times \frac{\sqrt{13}}{\sqrt{31888000000}}$$

Tauwehea te 31888000000=4000^{2}\times 1993. Tuhia anō te pūtake rua o te hua \sqrt{4000^{2}\times 1993} hei hua o ngā pūtake rua \sqrt{4000^{2}}\sqrt{1993}. Tuhia te pūtakerua o te 4000^{2}.

$$6378137\times \frac{\sqrt{13}}{4000\sqrt{1993}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{13}}{4000\sqrt{1993}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{1993}.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\left(\sqrt{1993}\right)^{2}}$$

Ko te pūrua o \sqrt{1993} ko 1993.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\times 1993}$$

Hei whakarea \sqrt{13} me \sqrt{1993}, whakareatia ngā tau i raro i te pūtake rua.

$$6378137\times \frac{\sqrt{25909}}{4000\times 1993}$$

Whakareatia te 4000 ki te 1993, ka 7972000.

$$6378137\times \frac{\sqrt{25909}}{7972000}$$

Tuhia te 6378137\times \frac{\sqrt{25909}}{7972000} hei hautanga kotahi.

$$\frac{6378137\sqrt{25909}}{7972000}$$