Whakaoti i te 314*15*15*60div360-225*frac{sqrt{3}}{4}*1/720

$$314 \times 15 \times 15 \times 60 \div 360-225 \times \frac{ \sqrt{ 3 } }{ 4 } \times \frac{ 1 }{ 720 }$$

Aromātai

$$-\frac{5\sqrt{3}}{64}+11775\approx 11774.864683531$$

Ngā Hipanga Rongoā Poto

Whakareatia te 314 ki te 15, ka 4710.

$$\frac{4710\times 15\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Whakareatia te 4710 ki te 15, ka 70650.

$$\frac{70650\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Whakareatia te 70650 ki te 60, ka 4239000.

$$\frac{4239000}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Whakawehea te 4239000 ki te 360, kia riro ko 11775.

$$11775-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Whakareatia te 225 ki te \frac{1}{720}, ka \frac{225}{720}.

$$11775-\frac{225}{720}\times \frac{\sqrt{3}}{4}$$

Whakahekea te hautanga \frac{225}{720} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 45.

$$11775-\frac{5}{16}\times \frac{\sqrt{3}}{4}$$

Me whakarea te \frac{5}{16} ki te \frac{\sqrt{3}}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$11775-\frac{5\sqrt{3}}{16\times 4}$$

Whakareatia te 16 ki te 4, ka 64.

$$11775-\frac{5\sqrt{3}}{64}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 11775 ki te \frac{64}{64}.

$$\frac{11775\times 64}{64}-\frac{5\sqrt{3}}{64}$$

Tā te mea he rite te tauraro o \frac{11775\times 64}{64} me \frac{5\sqrt{3}}{64}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11775\times 64-5\sqrt{3}}{64}$$

Mahia ngā whakarea i roto o 11775\times 64-5\sqrt{3}.

$$\frac{753600-5\sqrt{3}}{64}$$

Tauwehe

$$\frac{5 {(150720 - \sqrt{3})}}{64} = 11774.864683530659$$