Respuesta :

Given:

The radius of a circle is 14 mi and central angle 50 degrees.

Required:

Find the area of the shaded region.

Explanation:

Formula to calculate area of sector

[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]

Now,

[tex]\begin{gathered} A=\frac{50}{360}\times\pi\times14^2 \\ =\frac{50}{360}\times\pi\times196 \\ =\frac{245}{9}\pi\text{ }mi^2 \end{gathered}[/tex]

Answer:

Fourth option Is correct.