Two real numbers are chosen at random between $0$ and $2.$ What is the probability that the sum of their squares is no more than $4?$ Express your answer as a common fraction in terms of $\pi$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Two real numbers are chosen at random between $0$ and $2.$ What is the probability that the sum of their squares is no more than $4?$ Express your answer as a common fraction in terms of $\pi$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{\pi}{4}
Two real numbers are chosen at random between $0$ and $2.$ What is the probability that the sum of their squares is no more than $4?$ Express your answer as a common fraction in terms of $\pi$.
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