Respuesta :

Answer:

Option B

Step-by-step explanation:

Formula to be used to calculate the length of an arc,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Angle subtended at the center by the arc

r = radius of the circle

By substituting values in the formula,

s = [tex]\frac{150}{360}(2\pi )(42)[/tex]

[tex]\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )[/tex]

[tex]\frac{s}{84 \pi }=\frac{150}{360}[/tex]

Therefore, Option B will be the answer.

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