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Distance Between Points

Euclidean distance between two 2D or 3D points

Distance Between Two Points

x₁
y₁
x₂
y₂
z₁ (3D, optional)
z₂ (3D, optional)

Results

Distance (2D)
5.0000
Midpoint x
1.5000
Midpoint y
2.0000

The distance formula calculates the straight-line distance between two points in 2D or 3D space. It is derived from the Pythagorean theorem.

  1. 12D: d = √((x₂−x₁)² + (y₂−y₁)²)
  2. 23D: d = √((x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²)
  3. 3Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2)
  4. 4Manhattan distance: |x₂−x₁| + |y₂−y₁|
(0,0) to (3,4)=d = √(9+16) = 5
(1,2,3) to (4,6,3)=d = √(9+16+0) = 5
Point 1Point 2Distance
(0,0)(3,4)5
(0,0)(5,12)13
(1,1)(4,5)5
(0,0,0)(1,1,1)1.732
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