Dart Covariance

Maddie is throwing darts at a very realistic dartboard that is infinitely tall and wide. Let $(0,0)$ be the exact center of the bullseye. Let $X$ and $Y$ represent the horizontal and vertical distance that Maddie's dart lands from the bullseye, respectively. This means that Maddie's shot is a random point $(X,Y) \in \mathbb{R}^2$. Assume that $X,Y \sim N(0,1)$ IID. Let $R$ be the (Euclidean) distance from the origin that the dart lands. Compute $\cov{X}{R^2}$.