We are asked to determine the area swept by the door. We notice that the area forms a sector of a circle. The area of the sector of a circle is given by:

Where:

To convert the given angle into radians we use the following conversion factor:

Now, we multiply by the conversion factor:

Now, we plug in the values in the formula for the area:

Solving the operations:

Therefore, the area is 800 pi square centimeters.