Distance between Two Points Calculator
Calculate distance between two points step by step
For two given points, the calculator will find the distance between them, with steps shown.
Your Input
Find the distance between $$$P = \left(-2, 3\right)$$$ and $$$Q = \left(5, 1\right)$$$.
Solution
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, $$$d = \sqrt{\left(5 - \left(-2\right)\right)^{2} + \left(1 - 3\right)^{2}} = \sqrt{53}$$$.
Answer
$$$d = \sqrt{53}\approx 7.280109889280518$$$A