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MATH & SCIENCE

Distance, Midpoint & Section Formula Calculator

Find the distance, midpoint, or a ratio-dividing point between two coordinates — free and instant.

DISTANCE
MIDPOINT

SECTION FORMULA — point dividing the segment in a given ratio
:
DIVIDING POINT

About this tool

Three related coordinate-geometry calculations for two points: the distance between them (via the distance formula, derived from the Pythagorean theorem applied to the horizontal and vertical gaps), the midpoint (the simple average of both coordinates), and the section formula — the point that divides the segment in a given ratio m:n, either internally (between the two points) or externally (beyond one of them, on the extended line).

The midpoint is really just a special case of internal section division at a 1:1 ratio, but it's common enough to show on its own without needing to set the ratio first.

Frequently asked questions

What’s the difference between internal and external division?

Internal division finds a point between the two given points. External division finds a point outside the segment, on the line extended beyond one end — the formula is the same idea with a subtraction instead of an addition.

Can the ratio be something other than whole numbers?

Yes — m and n just need to be positive numbers; they don’t need to be integers.

Is the midpoint just the section formula at ratio 1:1?

Yes exactly — shown separately here since it’s the far more commonly needed case.

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