Respuesta :

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°