Question

Calcule os valores entre graus/radianos: a) 60 ͦ = ? (π rads) b) 120 ͦ = ? c) 75 ͦ = ? d) 315 ͦ = ? e) 4π/3 rad =? (graus) f) 3π/4 rad = ? g) π rad = ? h) 27π/4 rad = ?

Answer 1

Bom Dia!

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a) 60 ͦ

πRad----180°

  x-------60

180x=60

x=60/180 → 30/90 → 15/45 → 5/15 → 1/3πRad

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Seguindo o mesmo método da alternativa (A), dividiremos por 180

b) 120 ͦ

120/180 → 60/90 → 30/45 → 10/15 → 2/3πRad

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c) 75 ͦ

75/180 → 25/60 → 5/12πRad

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d) 315 ͦ

315/180 → 105/60 → 35/20 → 7/4πRad

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e) 4/3πRad

4×180/3 → 720/3 = 240°

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f) 3/4πRad

3×180/4 → 540/4 = 135°

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g) πRad

πRad = 180°

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h) 27/4πRad

27×180/4 → 4860/4 = 1215°

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Att;Guilherme Lima