I conducted an experiment and measured the values of $R$ and $H$ to calculate $v\_i$.

The equation used is: $$v\_i=\sqrt{{gR^2}\over{2H}}$$.

My average values ($v\_i$ is calculated only for the average values over multiple trials) of $R$ and $H$ were 1.90 m 1.02 m respectively.

I estimated that my measured values were within $\pm$ 0.01 m of the true value.

Theorizing that the largest difference in result would occur when one value was on the high end and the other was on the low end, I did the following to calculate the absolute error:

$$|Error|=\sqrt{{(9.8)(1.91)^2}\over{2(1.01)}}-\sqrt{{(9.8)(1.90)^2}\over{2(1.02)}}=0.04$$

So, I would say that a measurement error 1 cm in either quantity could produce an error in the calculated value of $v\_i$ of 0.04 m/s, but something seems sketchy about this methodology. Is my conclusion/reasoning correct?