Measure point distance with precise coordinate steps. Review midpoint, deltas, slope, and vector direction instantly. Export neat results, learn formulas, and solve faster today.
2D Distance Formula: d = √[(x2 - x1)² + (y2 - y1)²]
3D Distance Formula: d = √[(x2 - x1)² + (y2 - y1)² + (z2 - z1)²]
Midpoint Formula: M = ((x1 + x2) / 2, (y1 + y2) / 2) or include z for 3D.
Manhattan Distance: |x2 - x1| + |y2 - y1|, and add |z2 - z1| in 3D.
Slope in 2D: m = (y2 - y1) / (x2 - x1), if x2 ≠ x1.
| Mode | Point A | Point B | Euclidean Distance | Midpoint | Manhattan Distance |
|---|---|---|---|---|---|
| 2D | (1, 2) | (4, 6) | 5 | (2.5, 4) | 7 |
| 2D | (-3, 5) | (2, -1) | √61 ≈ 7.8102 | (-0.5, 2) | 11 |
| 3D | (1, 2, 3) | (4, 6, 9) | √61 ≈ 7.8102 | (2.5, 4, 6) | 13 |
Distance between two points is a key topic in coordinate geometry. Students use it in algebra, graphs, vectors, and analytic geometry. Teachers use it for examples and checking work. This calculator makes the process easier. It supports 2D and 3D coordinates. It also returns midpoint, vector change, slope, and squared distance.
Manual work takes time. Sign errors are common. This tool reduces that problem. Enter Point A and Point B. Choose the mode. Set your decimal precision. Add a unit if needed. The calculator then shows the formula, substitutions, and final answer. It also reports Manhattan distance for comparison.
This page gives more than straight-line distance. You can also read Δx, Δy, and Δz. These values help explain the geometry. The midpoint is useful for line segment questions. The direction vector supports coordinate analysis. In 2D mode, the slope adds another helpful detail for graph work and line study.
This calculator works well for homework, tutoring, revision, and classroom examples. It can check answers fast. It can also support worksheet creation. The example table gives ready values. The formula section explains the method clearly. That helps users understand the rule instead of only copying a final number.
Distance formulas appear in mapping, design, navigation, robotics, and data plotting. A plotted point may represent a location or a measured value. Finding the distance between coordinates helps compare positions accurately. In 3D work, the same method extends into space. That makes the tool useful for both school and practical tasks.
Use decimals, negatives, or whole numbers. Switch between 2D and 3D anytime. Review the steps. Then export the result for records or print use. If you need a reliable distance between two points calculator, this page gives fast output and useful geometry details in one place.
It finds the straight-line distance between two coordinates. It also shows midpoint, direction vector, squared distance, Manhattan distance, and slope in 2D mode.
Yes. You can switch between 2D and 3D from the mode field. In 3D mode, the tool includes z-values in every related calculation.
Squared distance is the value inside the square root. It is useful in algebra, programming, and comparisons where the exact root is not needed.
Manhattan distance adds the absolute coordinate changes. It helps compare grid-style travel or path length with straight-line Euclidean distance.
If x2 equals x1 in 2D mode, the line is vertical. A vertical line does not have a defined slope, so the calculator marks it as undefined.
Yes. The calculator accepts whole numbers, negative values, and decimals. That makes it useful for graph questions, measurements, and mixed coordinate sets.
You can type any label, such as units, cm, m, km, or ft. The label appears beside the distance and Manhattan distance outputs.
The CSV button downloads a table of your result values. The PDF button downloads a clean summary file for saving, sharing, or printing later.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.