Distance and Midpoint Between Two Points
Distance and Midpoint Between Two Points
\[\begin{aligned}
d &= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\
M_x &= \frac{x_1+x_2}{2} \\
M_y &= \frac{y_1+y_2}{2}
\end{aligned}\]
Variables
d = distance between points
Mx = midpoint x-coordinate
My = midpoint y-coordinate
x1 = x-coordinate of first point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
y2 = y-coordinate of second point
Description
What is this formula?
This set of formulas calculates the distance and midpoint between two points in a Cartesian coordinate system.
When to use it
Use these formulas in geometry, coordinate analysis, engineering, physics, navigation, and computer graphics whenever point positions must be analyzed.
Example
For points (1,2) and (5,6):
Distance:
d = √((5-1)²+(6-2)²)
d = √(16+16)
d ≈ 5.66
Midpoint:
Mx = (1+5)/2 = 3
My = (2+6)/2 = 4
Applications
- Coordinate geometry
- CAD and computer graphics
- Navigation systems
- Physics and vector analysis
- Engineering calculations
Download the fCalc app to calculate this formula and thousands more:
