Question

Find the length of each bolded arc. Round to the nearest hundredth.

Answer 1

Answer:

Length of the bold arc = 72.63 ft

Step-by-step explanation:

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

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

r = Radius of the circle

Since, angle subtended by the bold arc at the center = 360 - 73

                                                                                         = 287°

And radius of the circle 'r' = 14.5 ft

By substituting these values in the formula,

Length of the bold arc = $\frac{287}{360}\times (2\pi)(14.5)$

                                     = 72.632

                                     ≈ 72.63 ft

Therefore, length of the bold arc = 72.63 ft