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Angelogabriel91
@Angelogabriel91
December 2019
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Calcule a area do segmento circular que tem 4m de raio e 45° de ângulo central. Utilize pi=3,1 e raiz de 2 =1,4.
A)0,60m2
B)0,65m2
C)0,70m2
D)0,75m2
E)0,80m2
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albertrieben
Boa tarde Angelogabriel
π = 3.1
√2 = 1.4
α = 45°
r = 4
área do setor circular é
As = πr² * (α/360)
As = 3.1*16/8 = 3.1*2 = 6.2 m²
área do triangulo
At = r²*sen(α)/2
At = 4²*sen(45)/2
At = 16*√2/4
At = 4√2 = 4*1.4 = 5.6
área do segmento
A = As - At
A = 6.2 . 5.6 = 0.6 m² (A)
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Lista de comentários
π = 3.1
√2 = 1.4
α = 45°
r = 4
área do setor circular é
As = πr² * (α/360)
As = 3.1*16/8 = 3.1*2 = 6.2 m²
área do triangulo
At = r²*sen(α)/2
At = 4²*sen(45)/2
At = 16*√2/4
At = 4√2 = 4*1.4 = 5.6
área do segmento
A = As - At
A = 6.2 . 5.6 = 0.6 m² (A)