josecruz51812 josecruz51812
  • 24-11-2019
  • Mathematics
contestada

A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m.

Respuesta :

VioletBrennan VioletBrennan
  • 30-11-2019

Answer:

θ=1.2 rad=68.7549°

Step-by-step explanation:

Given

  • Circle of radius 5
  • Arc of length 6 subtends angle of θ

[tex]\text{Arc Length}=\text{Radius}\times \text{Angle Subtented(in rad)}[/tex]

⇒

[tex]6= 5\times \text{O}\\[/tex]

θ[tex]=\frac{6}{5} =1.2rad[/tex]

Therefore θ=1.2 rad

(π rad= 180°)

Therefore 1.2 rad= 68.7549°

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