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What's the approximate length of an arc with radius 3 miles and central angle of 45

Sagot :

  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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