PERHITUNGAN LUAS HASIL PENGUKURAN Perhitungan luas dengan koordinat
Perhitungan luas dengan rumus luas: 2 L = (Xn.Yn+1 – Xn+1. Yn) Atau L = (Xn.Yn+1 – Xn+1. Yn) / 2 Perhitungan luas dengan perkalian silang adalah: 2 L = (X1.Y2 + X2.Y3 + X3.Y4 + X4.Y1) – (Y1.X2 + Y2.X3 + Y3.X4 + Y4.X1) L = ((X1.Y2 + X2.Y3 + X3.Y4 + X4.Y1) – (Y1.X2 + Y2.X3 + Y3.X4 + Y4.X1))/2
Diketahui harga koordinat titik: XA = 3000,000 m; YA = 3000,000 m XB = 3051,070 m; YB = 3029,489 m XC = 3147,385 m; YC = 3003,662 m XD = 3126,661 m; YD = 2886,384 m XE = 3058,116 m; YE = 2846,850 m Dari data tersebut di atas hitung luasnya: Penyelesaian dan perhitungannya lihat tabel berikut ini
Yn+1 Xn+1 X Yn+1 Xn+1 Y X Y A B C D E 3,000.000 3,029.4890 3,051.0700 X Y Yn+1 Xn+1 X Yn+1 Xn+1 Y A 3,000.000 3,029.4890 3,051.0700 9,088,467.0000 9,153,210.0000 B 3,051.070 3,029.489 3,003.6620 3,147.3850 9,164,383.0183 9,534,968.2363 C 3,147.385 3,003.662 2,886.3840 3,126.6610 9,084,561.7058 9,391,432.8326 D 3,126.661 2,886.384 2,846.8500 3,058.1160 8,901,134.8679 8,826,897.0925 E 3,058.116 2,846.850 3,000.0000 9,174,348.0000 8,540,550.0000 45,412,894.5920 45,447,058.1614 2Luas 34,163.5694 m2 Luas 17,081.78 m2