Question

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

Answer 1

Length of the bold arc = 72.63 ft

Explanation:

Length of the arc =
`(\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 =
`(287)/(360)* (2\pi)(14.5)`

= 72.632

≈ 72.63 ft

Therefore, length of the bold arc = 72.63 ft