Respuesta :

The central angle is ca = 360 - 75 = 285°

The radius is r = 20 units

Therefore, the area of the shaded sector is:

[tex]\begin{gathered} S=\frac{ca}{360}\cdot\pi\cdot r^2 \\ S=\frac{285}{360}\cdot3.14\cdot20^2 \\ S=994.3\text{ units} \end{gathered}[/tex]