Respuesta :

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

  • radius: 14 meters
  • arc: RS

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  [tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]

Answer: 28.34 meters

Hope that helps!