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]