Respuesta :

Answer:

  a) φ = 4/7

  b) φ = 4

Step-by-step explanation:

The relationship between radius, angle, and arc length is ...

  a = r·φ . . . . . φ in radians

You want to find the angle φ, so you can divide this equation by r:

  φ = a/r

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a) φ = a/r = (8 cm)/(14 cm) = 8/14

  φ = 4/7 radians

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b) φ = a/r = (16 cm)/(4 cm) = 16/4

  φ = 4 radians