Question

Calcular, utilizando regra de três, o correspondente em radianos de cada ângulo a seguir: a) 45 b) 270 c) 20 d) 300

Answer 1

πrad → 180°

a) 45°

πrad-----180°

 x--------45°

180x=45

x=45/180 → 9/36 → 3/12 = 1/4πrad

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b) 270°

πrad-----180°

 x--------270°

180x=270

x=270/180 → 27/18 → 9/6 → 3/2πrad

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c) 20°

πrad-----180°

 x--------20°

180x=20

x=20/180 → 2/18 → 1/9πrad

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d) 300

πrad-----180°

 x--------300°

180x=300

x=300/180 → 30/18 → 10/6 → 5/3πrad