Let $X$ and $Y$ be independent random variables, each of which is uniformly distributed between $0$ and $1$.
Find the probability that $(X−\frac 1 2)^2+(Y−\frac 1 2)^2\leq \frac 1 9$. Give at least 8 correct digits after the decimal point. Hint: don't compute any integrals; think about this problem geometrically.
I understand that the uniform distribution means each value has an equal chance of occurring but it threw me off when saying don't compute any integrals.