A thin flat washer has a round hole in its middle. Its inner radius is $12\ \text{cm}$ and its outer radius is $40\ \text{cm}$. A point charge of $+12\ \text{nC}$ is held on the axis of the washer, $9.0\ \text{cm}$ from its centre, as in the figure. The washer is uncharged and does not change the field. Take $\varepsilon_0 = 8.85 \times 10^{-12}\ \text{C}^2\,\text{N}^{-1}\,\text{m}^{-2}$. What is the electric flux through the washer, not counting the hole, taken in the direction away from the charge? Give the answer in $\text{N m}^2/\text{C}$, to the nearest whole number.

Fig. 1: A thin flat washer seen at a slant, with inner radius 12 cm and outer radius 40 cm. A point charge of plus 12 nanocoulombs sits on the axis of the washer, 9.0 cm from its centre. The drawing is not to scale.