According to a formula used thousands of years ago, the area of a circle is approximately [[$ \left ( \displaystyle\frac {8} {9} \right )^2 $]]. Which approximate of number [[$ \pi $]] placed in the formula [[$ A = \pi r^2 $]] gives the same result? Answer at the accuracy of three decimal places. (Source: Finnish matriculation exam, autumn 1995)

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Solution