Question

Which proportion can be used to find the arc length, s, in units?

Answer 1

Answer:

Option B

Step-by-step explanation:

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

Length of arc = $\frac{\theta}{360}(2\pi r)$

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

r = radius of the circle

By substituting values in the formula,

s = $\frac{150}{360}(2\pi )(42)$

$\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )$

$\frac{s}{84 \pi }=\frac{150}{360}$

Therefore, Option B will be the answer.