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fomenos
3 years ago
10

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

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

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

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