Respuesta :

Length of arc = rθ        

where r = radius, θ = angle in radians.

57.1 = r*1.46

1.46r = 57.1

r = 39.1095

Radius ≈ 39.11 m 

The radius of a circle = 39.11 m.

What is  radius of a circle?

A radian exists as the angle subtended by an arc of length equivalent to the radius of the circle. ( "Subtended" indicates made by merging two lines from the endpoints of the arc to the center). An arc of length R where R stands for the radius of a circle equals an angle of 1 radian.

Length of arc = rθ        

where r = radius,

θ = angle in radians.

57.1 = r [tex]*[/tex] 1.46

1.46r = 57.1

r = 39.1095

Radius ≈ 39.11 m

Therefore, the radius of a circle = 39.11 m.

To learn more about radius of a circle

https://brainly.com/question/2005046

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