Midpoint Calculator

Written by:
PK

On this page is a midpoint calculator or halfway point finder, which returns the point exactly in the middle of two points. It works for 1 through 6 dimensions, though it's most common for two and three dimensions.

Midpoint Calculator

What is the midpoint?

The midpoint is the exact middle point of a line segment. When you calculate a midpoint, you're looking at a line segment drawn between two points and finding the point exactly centered between them.

For each axis, the midpoint is the average of the two points along that axis.

Formula for midpoint

The formula for the midpoint of two points is:

\frac{A+B}{2}

For two dimensions with points (x1, y1) and (x2, y2):

midpoint\ (x_1, y_1), (x_2, y_2)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

You can extend that to any number of dimensions. For 1 dimension (a single axis), you just need the arithmetic average of the two numbers - for example, the midpoint of 3 and 9 is 6.

Using the midpoint calculator

First, select the number of dimensions in the Dimensions dropdown. If you change the number of dimensions, the point entry forms will expand or contract accordingly.

Next, enter coordinates in the Point 1 and Point 2 fields. The midpoint will calculate automatically.

Related calculators

      

PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK lives in New Hampshire with his wife, kids, and dog.

Don't Quit Your Day Job...

DQYDJ may be compensated by our partners if you make purchases through links. See our disclosures page. As an Amazon Associate we earn from qualifying purchases.
Sign Up For Emails
linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram