RESULTADOS AULA 3

RESULTADOS AULA 3

Os dados coletados durante a aula foram:
Ponto
Azimute
Distância (m)
1
76° 47’ 28’’
10,39
2
87° 51’ 38’’
19,37
3
35° 57’ 18’’
27,81
4
63° 20’ 48’’
23,48
5
96° 02’ 48’’
16,60

Tolerância = 2” √N

Area Total Final: 953,21 m²

Perimetro: 162,59 m

1-
X² = D1² + D2² - 2 . D2 . D3 . Cos
X² = 10,39² + 19,37² - 2 . 10,39 . 19,37 . Cos 76°47’28’’
X² = 107,95 + 375,19 – 91,97
X² = 391,17
X = √391,17
X = 19,77m

Perimetro
P = A + B + C P = 10,39 + 19,37 + 19,77 P = 24,76m 2 2

Area
A = √ P . ( P – A ) . ( P – B ) . ( P – C )
A = √ 24,76 . (24,76 – 10,39) . (24,76 – 19,37) . (24,76 – 19,77)
A = √ 24,76 . ( 14,37 ) . ( 5,39 ) . ( 4,99 )
A = √ 24,76 . 386,496.95
A = √ 9,569.66
A = 97,82m²

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2-
X² = D1² + D2² - 2 . D2 . D3 . Cos
X² = 19,37² + 27,81² - 2 . 19,37 . 27,81 . Cos 87°51’38”
X² = 375,19 + 773,39 – 40,21
X² = 1,108.37
X = √ 1,108.37
X = 33,29m

Perimetro
P = A + B + C P = 19,37 + 27,81 + 33,29 P = 40,23m 2 2

Area
A = √ P . ( P – A ) . ( P – B ) . ( P – C )
A = √ 40,23 . (40,23 – 19,37) . (40,23 - 27,81) . (40,23 – 33,29)
A = √ 40,23 . ( 20,86 ) . ( 12,42 ) . ( 6,94 )
A = √ 40,23 . 1,798.02
A = √ 72,334.34
A = 268,95m²

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3-
X² = D1² + D2² - 2 . D2 . D3 . Cos
X² = 27,81² + 23,48² - 2 . 27,81 .23,48 . Cos 35°57’18”
X² = 773,39 + 551,31 – 1,05
X² = 1,323.65
X = √ 1,323.65
X = 36,38m

Perimetro
P = A + B + C P = 27,81 + 23,48 + 36,38 P = 43,83m 2 2

Area
A = √ P . ( P – A ) . ( P – B ) . ( P – C )
A = √ 43,83 . (43,83 – 27,81) . (43,83 – 23,48) . (43,83 – 36,38)
A = √ 43,83 . ( 16,02 ) . ( 20,35 ) . ( 7,45 )
A = √ 43,83 . 2,428.75
A = √ 106,452.11
A = 326,26m²