The disc of mass M with uniform surface mass density σ is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the…

The disc of mass $\displaystyle M$ with uniform surface mass density $\displaystyle \sigma$ is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position $\displaystyle \frac{x}{3} \frac{\mathrm{a}}{\pi}, \frac{x}{3} \frac{\mathrm{a}}{\pi}$ where $\displaystyle x$ is \_\_\_\_. (Round off to the Nearest Integer) [a is an area as shown in the figure]