Number of Chords formed by joining N Points on Circle Calculator

Calculate Number of Chords



Formula

The formula to calculate the Number of Chords is:

\[ \text{NChords} = C(n, 2) = \frac{n(n-1)}{2} \]

Definition

The Number of Chords is the total count of possible line segments in a circle joining any two points from a given set of points on the circle. Value of N is any natural number or positive integer that can be used for combinatorial calculations.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{NChords} = C(8, 2) = \frac{8 \cdot (8-1)}{2} = 28 \]

The Number of Chords is 28.

Conversion Chart

Value of N Number of Chords
2 1
3 3
4 6
5 10
6 15
7 21
8 28
9 36
10 45