A rectangle is inscribed in a unit circle.  Find the largest possible area of the rectangle.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A rectangle is inscribed in a unit circle.  Find the largest possible area of the rectangle.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
A rectangle is inscribed in a unit circle.  Find the largest possible area of the rectangle.
train