UCZELNIA WARSZAWSKA IM. M. SKŁODOWSKIEJ-CURIE GEODEZJA I KARTOGRAFIA
ĆWICZENIE NR 1
Wykonał:

1. Dane:

P = 1cm² n = 15 M =15 000 S = ?

1 cm – 15000 cm

1cm²- 225000000 cm²= 22500 m² = 2,25 ha

1. Dane:

P= 10cm² M=15000 S=?

S= P*M²

S= 10 cm²* 15000²

S= 10 cm² * 225000000

S= 2250000000 cm² =22,5 ha

1. Dane:

S=0,4 ha M= 15000 P=?

S= P*M²

0,4 ha = 40000000 cm²

$$P = \frac{40000000\ \text{cm}^{2}}{225000000} = \mathbf{0,177777778}\ \text{cm}^{2}$$

1. Dane:

S=2,5 ha M= 15000 P=?

2,5 ha= 250000000 cm²

S= P*M²

$$P = \frac{250000000\ \text{cm}^{2}}{225000000} = 1,11111111\ \text{cm}^{2}$$

1. Dane:

P= 1cm² S= 0,04 ha 1: M ?

0,04 ha = 4000000 cm²

S= P*M²

$$M^{2} = \frac{\ {4000000\ cm}^{2}}{1\ \text{cm}^{2}} = 4000000\ \text{cm}^{2}$$

M = 2000 1:2000

1. Dane:

P = 3cm² S= 1ha 1:M

1 ha= 100000000 cm²

$${M^{2} = \frac{\ {100000000\ cm}^{2}}{3\ \text{cm}^{2}} = 5773,50\ \text{cm}^{2} = 6*10^{3}\text{\ cm}}^{2}$$

1. $S = \frac{1}{e} + \frac{1}{9} + \frac{1}{11} + 2^{\frac{1}{2}} + \pi - \frac{1}{15} = 0,368 + 0,111 + 0,091 + 1,414 + 3,142 - 0,067 = 5,059 = 5,06$