
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Rotate the rectangle \(ABCD\) around point \(A\) clockwise by \(90^\circ\). The area swept by side \(CD\) is shown shaded in the diagram. Using an unmarked ruler and a compass, draw a circle in the diagram such that its area is equal to the shaded area.

Present the answer in LaTex format: \boxed{Your answer}
user