Answer:
36π
Step-by-step explanation:
The area of a circle is given as:

where r = radius of the circle
The area of a sector of a circle is given as:

where α = central angle in radians
Since
is the area of a circle, A, this implies that:

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:

The area of the circle is 36π.
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
Now, let's simplify.
=> 
=> 
=> 
=> 
=> 
Therefore, Option D is correct.
Hoped this helped.
EXPLANATION
Applying the Angles in Circles Theorem we can assevere that the measure of the unknown angles is given by the difference between 360 (By the Sum of Interior Angles of a Quadrilateral Theorem) and the angle 114 with both right angles.
? = 360 -114 - 90 - 90
? = 66 degrees
The answer is 66 degrees