A circle has a sector with area 1/2π and central angle of 1/9π radians . What is the area of the circle? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal.

Step-by-step explanation:

The area of a sector is given by;

From the given information, the central angle is

and

Let us substitute and solve for the radius, r.

The area of a circle is given by:

Substitute the radius to get: