Length of the arc of a circle is given by,
- Length of arc = [tex]\frac{\theta}{360^{\circ}}(2\pi r)[/tex]
Here, θ is the central angle subtended by the arc
r = Radius of circle
By using this expression, approximate length of the arc with radius 3 miles will be 2.36 miles.
If the radius of circle = 3 miles
Central angle subtended by the arc = 45°
Therefore, length of the arc = [tex]\frac{45^{\circ}}{360^{\circ}}(2\pi )(3)[/tex]
= 2.36 miles
Length of the arc of the given circle will be 2.36 miles.
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