Question

Ajudaaaaa pfvvv galeraa!


Quem rspnd errado vou DENUNCIAAAAR!!!!! ​

Answer 1

Resposta:

4)

a)

$C = 2\pi \times r \\ \\ C = 2 \times 3,14 \times 6 \\ \\ \blue{ C = 37,68 \: cm}$

$C = 2 \times 3,14 \times 9 \\ \\ \blue{C = 56,52 \: cm}$

b)

Nenhum dos dois, ambos possuem a mesma medida. Pois, estão sobre o mesmo ângulo central.

c)

O arco PQ tem maior comprimento.

5)

a)

$30° = \frac{\pi}{6}$

$\alpha = \dfrac{l}{r} \\ \\ \dfrac{\pi}{6} = \dfrac{l}{6} \\ \\ 6\pi = 6l \\ \\ l = \frac{6\pi}{6} \\ \\ l = \pi \\ \\\blue{ l = 3,14\:cm}$

b)

$45° = \dfrac{\pi}{4} \\ \\ \alpha = \dfrac{l}{r} \\ \\ \frac{\pi}{4} = \frac{l}{6} \\ \\ 4l = 6\pi \\ \\ l = \frac{6\pi \div 2}{4 \div 2} \\ \\ l = \frac{3\pi}{2} \\ \\ l = \frac{3 \times 3,14}{2} \\ \\ l = \frac{9,42}{2} \\ \\ \blue{l = 4,71\:cm}$

c)

$60° = \dfrac{\pi}{3}$

$\alpha = \frac{l}{r} \\ \\ \frac{\pi}{3} = \frac{l}{6} \\ \\ 3l = 6\pi \\ \\ l = \frac{6\pi}{3} \\ \\ l = 2\pi \\ \\ l = 2 \times 3.14 \\ \\ \blue{l = 6,28\:cm}$

d)

$90° = \dfrac{\pi}{2} \\ \\ \alpha = \dfrac{l}{r} \\ \\ \frac{\pi}{2} = \frac{l}{6} \\ \\ 2l = 6\pi \\ \\ l = \frac{6\pi}{2} \\ \\ l = 3\pi \\ \\ l = 3 \times 3,14 \\ \\ \blue{l = 9,42\:cm}$

6)

a)

$\alpha = \frac{l}{r} \\ \\ \alpha = \frac{21,98}{45} \\ \\ \alpha \cong0,49 \: rad$

ou

rad -------- grau

3,14 ------- 180°

0,49 ------- $\alpha$

3,14$\alpha$ = 88,2

$\alpha = \frac{88,2}{3,14}\\ \\ \alpha \cong28°$

b)

$\pi$ -------- 180°

$\alpha$ ----------------- 95°

180$\alpha$ = 95$\pi$

$\alpha = \dfrac{95\pi÷5}{180÷5}\\ \\\alpha = \dfrac{19\pi}{36}\\ \\\dfrac{19\pi}{36} = \dfrac{l}{5,8}\\ \\ 36l = 110,2\pi\\ \\l = \dfrac{110,2\pi}{36}\\ \\ l \cong3,06\pi \\ \\l \cong3,06×3,14\\ \\ \blue{l \cong9,6\: cm}$

Bons Estudos!