# Distance between Two Points Calculator

For two given points, the calculator will find the distance between them, with steps shown.

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Find the distance between $P = \left(-2, 3\right)$ and $Q = \left(5, 1\right)$.
The distance between two points $P$ and $Q$ is $d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}$ ($n$ is the number of coordinates of each of the two points, $p_i, i=\overline{1..n}$ and $q_i, i=\overline{1..n}$ are the coordinates of the first and the second points respectively).
Thus, $d = \sqrt{\left(5 - \left(-2\right)\right)^{2} + \left(1 - 3\right)^{2}} = \sqrt{53}$.
$d = \sqrt{53}\approx 7.280109889280518$A