Midpoint Calculator - Find the Coordinates Between Two Points (2D & 3D)

Midpoint Calculator

Find the midpoint between two points in 2D or 3D coordinates instantly

What is a Midpoint Calculator?

The Midpoint Calculator is a free and easy-to-use online tool designed to calculate the midpoint between two given points in a coordinate system. Whether you need to find a midpoint in 2D (x, y) or in 3D (x, y, z), this calculator provides fast, reliable, and step-by-step results ideal for students, teachers, educators, and professionals.

Choose coordinate type:

How to Calculate the Midpoint?

In 2D:  Midpoint M = ((x₁+xā‚‚)/2, (y₁+yā‚‚)/2)

In 3D:  Midpoint M = ((x₁+xā‚‚)/2, (y₁+yā‚‚)/2, (z₁+zā‚‚)/2)

Example Calculation

  1. 2D Example: Find the midpoint between A(2, 3) and B(6, 7).
    • Step 1: Use the formula: M = ((2+6)/2, (3+7)/2)
    • Step 2: Calculate: M = (8/2, 10/2) = (4, 5)
  2. 3D Example: Find the midpoint between A(1, -3, 4) and B(5, 7, 2).
    • Step 1: Use the formula: M = ((1+5)/2, (-3+7)/2, (4+2)/2)
    • Step 2: Calculate: M = (6/2, 4/2, 6/2) = (3, 2, 3)

Frequently Asked Questions

What is a midpoint?
The midpoint is the exact center point between two given points in space. It's where a line segment connecting the two points is perfectly bisected.
Can I use the midpoint formula for any dimension?
Yes. The midpoint formula works for 2D, 3D, or any N-dimension (just average each coordinate).
Is this calculator free to use?
Yes, this midpoint calculator is 100% free and works online on any device.
Can I export the results to PDF?
You can use your browser's built-in print or export to PDF feature to save your calculation as a single continuous PDF page.
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