Respuesta :

Answer:35.9 m

Explanation:

Given

angular displacement [tex]\theta =\dfrac{\pi }{4}[/tex]

Arc length [tex]L=28.2\ m[/tex]

and we know that arc length [tex]L=\theta \times R[/tex]

where R=radius of curvature

[tex]R=\dfrac{28.2}{\dfrac{\pi }{4}}[/tex]

[tex]R=\dfrac{28.2\times 4}{\pi }[/tex]

[tex]R=35.9\ m[/tex]