# Arcsin Program!

**Geometry**Level 4

\[\large\displaystyle \sum\limits_{r = 1}^{25} \sin^{-1}\left(\dfrac{\sqrt{r}-\sqrt{r-1}}{\sqrt{r(r+1)}}\right) = \ ? \]

Give your answer to 3 decimal places.

\[\large\displaystyle \sum\limits_{r = 1}^{25} \sin^{-1}\left(\dfrac{\sqrt{r}-\sqrt{r-1}}{\sqrt{r(r+1)}}\right) = \ ? \]

Give your answer to 3 decimal places.

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