Respuesta :

Answer

Length of arc DB = 44 feet

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

[tex]Length\text{ of an arc = }\frac{\theta}{360\degree}\times2\pi r[/tex]

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

[tex]\begin{gathered} Length\text{ of an arc = }\frac{\theta}{360\degree}\times2\pi r \\ Length\text{ of an arc = }\frac{140\degree}{360\degree}\times2\times\frac{22}{7}\times18=44\text{ f}eet \end{gathered}[/tex]

Hope this Helps!!!