Distance Calculator

Calculate 2D Euclidean distance, 3D space distance, and geographical latitude/longitude distance using the Haversine formula with step-by-step solutions.

2D Distance Calculator (2D Plane)

Enter 2D coordinates (x₁, y₁) and (x₂, y₂) to compute Euclidean distance.

Point 1 (X₁):

Point 1 (Y₁):

Point 2 (X₂):

Point 2 (Y₂):

3D Distance Calculator (3D Space)

Enter 3D coordinates (x₁, y₁, z₁) and (x₂, y₂, z₂) to calculate straight-line space distance.

X₁:

Y₁:

Z₁:

X₂:

Y₂:

Z₂:

Latitude / Longitude Distance Calculator

Calculate spherical earth distance between two GPS coordinates using the Haversine formula.

Latitude 1 (°):

Longitude 1 (°):

Latitude 2 (°):

Longitude 2 (°):

How To Use the Distance Calculator

Distance measures the straight-line interval between two points across 2D surfaces, 3D spaces, or spherical planet coordinates.

2D Euclidean Distance: Derived from Pythagorean theorem: d = √[(x₂ - x₁)² + (y₂ - y₁)²].
3D Space Distance: Expands to incorporate height/depth z-axis: d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²].
Haversine Formula: Computes great-circle distances across Earth's curved spherical surface.

Frequently Asked Questions (FAQs)

The 2D distance formula calculates straight-line Euclidean distance between (x₁, y₁) and (x₂, y₂) using d = √[(x₂ - x₁)² + (y₂ - y₁)²].

In 3D coordinate geometry, an extra z-axis is included: d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²].

It uses the Haversine formula to compute great-circle distance over the curved surface of Earth using GPS coordinates.

No, distance is a non-negative scalar length magnitude (d ≥ 0).

The standard mean spherical radius of Earth used is 6,371 kilometers (3,958.8 miles).