Midpoint Calculator
Midpoint Calculator
Find the exact middle point between two coordinates
What is a Midpoint?
The midpoint between two points is the point that is exactly halfway between them. In a coordinate system, the midpoint can be calculated by taking the average of the x-coordinates and the average of the y-coordinates (and z-coordinates for 3D points).
Midpoint Formula
For two points (x₁, y₁) and (x₂, y₂) in a 2D coordinate system, the midpoint is calculated as:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
For 3D coordinates (x₁, y₁, z₁) and (x₂, y₂, z₂), the midpoint formula extends to:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2)
Applications of Midpoint Calculation
- Geometry and Mathematics: Finding centers of line segments, calculating centroids, and solving geometric problems.
- Computer Graphics: Determining the center point between two vertices or objects.
- Navigation: Finding halfway points between two locations.
- Physics: Calculating center of mass or equilibrium points.
- Game Development: Positioning objects or characters between two points.
Example Calculations
Example 1: 2D Midpoint
Find the midpoint between (2, 3) and (6, 9)
Midpoint = ((2 + 6)/2, (3 + 9)/2) = (4, 6)
Example 2: 3D Midpoint
Find the midpoint between (1, 2, 3) and (7, 8, 9)
Midpoint = ((1 + 7)/2, (2 + 8)/2, (3 + 9)/2) = (4, 5, 6)