Question

Calcule a área do segmento circular de 30° num círculo de raio 6 cm *

1 ponto

a) 5π - 2

b) 3π - 4

c) 2π - 8

d) 3π - 9

e) 4π - 7

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Answer 1

Explicação passo-a-passo:

$\sf S=S_{setor}-S_{\triangle}$

$\sf S=\dfrac{\pi\cdot r^2\cdot\alpha}{360^{\circ}}-\dfrac{r^2\cdot sen~\alpha}{2}$

$\sf S=\dfrac{\pi\cdot6^2\cdot30}{360}-\dfrac{6^2\cdot0,5}{2}$

$\sf S=\dfrac{\pi\cdot36\cdot30}{360}-\dfrac{36\cdot0,5}{2}$

$\sf S=\dfrac{1080\pi}{360}-\dfrac{18}{2}$

$\sf \red{S=3\pi-9~cm^2}$

Letra D