Answer:
285
Step-by-step explanation:
The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.
We also know that the area of the circle is [tex]\pi r^{2}[/tex] but we are finding a portion of that, therefore we would need to multiply it by [tex](\frac{270}{360} )[/tex]. The radius is also given which is 11.
Area of the shaded region = [tex](\frac{270}{360}) * \pi 11^{2}[/tex] = 285
