To see what the r-coordinate means in the Schwarzschild metric, consider two events with different r-coordinates but the same t-coordinate, θ-coordinate, and ϕ-coordinate. This is essentially like m...To see what the r-coordinate means in the Schwarzschild metric, consider two events with different r-coordinates but the same t-coordinate, θ-coordinate, and ϕ-coordinate. This is essentially like measuring the distance between the edges of two concentric circles.