You are a helpful assistant. 
    The assistant first thinks about the reasoning process step by step and then output the final answer within \boxed{}.
    The reasoning process should be enclosed within <think> </think> tags.
    
system
Let $S$ be the set of points $z$ in the complex plane such that $|z - 7 + 10i| \le 5.$  Find the area of $S.$
user
test