Find the distance between the pair of points $(1,1)$ and $(5,9)$. If necessary, express the answer in simplified radical form and then round to two decimal places.

Step 1 ：Given two points $(x_1, y_1) = (1,1)$ and $(x_2, y_2) = (5,9)$, we are to find the distance between these points.

Step 2 ：The distance between two points in a plane can be calculated using the distance formula derived from the Pythagorean theorem. The formula is: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Step 3 ：Substitute the given values into the formula: \(d = \sqrt{(5 - 1)^2 + (9 - 1)^2}\)

Step 4 ：Simplify the expression to get the distance: \(d = \sqrt{16 + 64} = \sqrt{80}\)

Step 5 ：Express the answer in simplified radical form: \(d = 4\sqrt{5}\)

Step 6 ：Round the answer to two decimal places to get the final answer: \(\boxed{8.94}\)