Question

ajutooorrrrrr la ex 5​

Answer 1

Explicație pas cu pas:

Aria unui sector de cerc este:

$\boxed{\mathcal{A}_{sector \ cerc} = \dfrac{\theta \cdot \pi \ r^{2}}{360^{0}}}$

$\theta = \dfrac{\mathcal{A}_{sector \ cerc} \cdot 360^{0}}{\pi \ r^{2}}$

a)

$\theta = \dfrac{12\pi \cdot 360^{0}}{\pi \ 12^{2}} = 12 \cdot 2.5 = 30^{0}$

b)

$\theta = \dfrac{18\pi \cdot 360^{0}}{\pi \ 12^{2}} = 18 \cdot 2.5 = 45^{0}$

c)

$\theta = \dfrac{24\pi \cdot 360^{0}}{\pi \ 12^{2}} = 24 \cdot 2.5 = 60^{0}$

d)

$\theta = \dfrac{30\pi \cdot 360^{0}}{\pi \ 12^{2}} = 30 \cdot 2.5 = 75^{0}$

e)

$\theta = \dfrac{36\pi \cdot 360^{0}}{\pi \ 12^{2}} = 36 \cdot 2.5 = 90^{0}$

f)

$\theta = \dfrac{48\pi \cdot 360^{0}}{\pi \ 12^{2}} = 48 \cdot 2.5 = 120^{0}$

g)

$\theta = \dfrac{60\pi \cdot 360^{0}}{\pi \ 12^{2}} = 60 \cdot 2.5 = 150^{0}$