Question

Find the length of Arc DB round your answer to the nearest hundredth

Answer 1

Length of arc DB = 44 feet

Step-by-step explanation

To find the length of the arc DB, we need to first note that the length of an arc is calculated using the formula

`Length\text{ of an arc = }(\theta)/(360\degree)*2\pi r`

where

θ = Angle subtended at the center of the circle by arc DB = 180° - 40° = 140°

π = pi = (22/7)

r = Radius of the circle = 18 feet

`\begin{gathered} Length\text{ of an arc = }(\theta)/(360\degree)*2\pi r \\ Length\text{ of an arc = }(140\degree)/(360\degree)*2*(22)/(7)*18=44\text{ f}eet \end{gathered}`

Hope this Helps!!!