Probability via Area: Point Above a Parabola in a Unit Circle

A point $(x, y)$ is chosen uniformly at random from within the unit disk (the region $x^2 + y^2 \leq 1$). What is the probability that the point lies above the parabola $y = x^2$? In other words, compute $P(y > x^2)$ where $(x, y)$ is uniform on the unit disk.