Geometry Spot CalculatorsLine Segments from Points

Line Segment Calculator

Calculate how many line segments can be formed by n points on a straight line using n×(n−1)÷2.

Segment Calculator

Enter the number of points to compute the total number of segments (C(n, 2)).

Number of Points (n)

Minimum 2 points. Large values may produce very large outputs.

Why the formula works

A line segment is determined by choosing two distinct points. So the count is the number of ways to choose 2 points from n points:

C(n, 2) = n(n − 1)/2

Mathematical note: This is the combination value C(n,2) = n!/(2!(n−2)!), often used in combinatorics and graph theory.