Question

Ajudaaaaa ai galeraaaaaaa




Quem responder errado, vou denunciar​

Answer 1

Resposta:

1)

r = 10 cm

a)

AÔB = 45°

Em radianos:

180° -------- $\pi$

45° ----------- x

$180x = 45\pi \\ \\ x = \frac{45\pi \div 45}{180 \div 45} \\ \\ x = \frac{\pi}{4}$

$AÔB = \frac{l}{r} \\ \\ \frac{\pi}{4} = \frac{l}{10} \\ \\ 4 l = 10\pi \\ \\ l = \frac{10\pi \div 2}{4 \div 2} \\ \\ \red{ l = \frac{5\pi}{2} \: cm}$

b)

$180° - - - - \pi \\ 150° - - - - x \\ \\ 180x = 150\pi \\ \\ x = \frac{150\pi \div 30}{180 \div 30} \\ \\ x = \frac{5\pi}{6} \\ \\ AÔB = \frac{l}{r} \\ \\ \frac{5\pi}{6} = \frac{l}{10} \\ \\ 6l =50\pi \\ \\ l= \frac{50\pi \div 2}{6 \div 2} \\ \\ \red{ l = \frac{25\pi}{3} \: cm}$

c)

AÔB = 330°

$180° - - - - \pi \\ 330° - - - - x \\ \\ 180x = 330\pi \\ \\ x = \frac{330\pi \div 30}{180 \div 30} \\ \\ x = \frac{11\pi}{6} \\ \\ AÔB = \frac{l}{r} \\ \\ \frac{11\pi}{6} = \frac{l}{10} \\ \\ 6 l = 110\pi \\ \\ l = \frac{110\pi \div 10}{180 \div 10} \\ \\ \red{ l = \frac{11\pi}{18} \: cm}$

2)

AÔB = 20°

Em radiano:

$180° - - - - - \pi \\ 20° - - - - - x \\ \\ 180x = 20\pi \\ \\ x = \frac{20\pi \div 20}{180 \div 20} \\ \\ x = \frac{\pi}{9}$

$AÔB = \frac{l}{r} \\ \\ \frac{\pi}{9} = \frac{ \frac{2\pi}{3} }{r} \\ \\ r \times \pi = 9 \times \frac{2\pi}{3} \\ \\ \pi \times r = 6\pi \\ \\ r = \frac{6\pi}{\pi} \\ \\ \red{r = 6\:unidades\:de\:comprimento}$

3)

a)

$Considerando\: \pi = 3 \\ \\180 = \pi\\ \\ AÔB = \frac{l}{r} \\ \\ \pi = \frac{l}{4} \\ \\ l = 4\pi \\ \\ l = 4×3\\ \\ \red{l = 12\: cm}$

b)

$AÔB = \frac{l}{r} \\ \\ \pi = \frac{l}{3} \\ \\ l \: = 3\pi \\ \\ l = 3×3\\ \\ \red{l = 9 \:cm}$

c)

D = 2r

7 = 2r

$r = \frac{7}{2} \\ \\ r = 3,5 \: cm$

$AÔB = \frac{l}{r} \\ \\ \pi = \frac{l}{3,5} \\ \\ l = 3,5\pi\\ \\l = 3,5×3\\ \\\red{ l = 10,5 \:cm}$

Bons Estudos!

Answer 2

Resposta:

1) resposta letra (b)....