The formula to calculate the Number of Chords is:
\[ \text{NChords} = C(n, 2) = \frac{n(n-1)}{2} \]
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.
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.
| Value of N | Number of Chords |
|---|---|
| 2 | 1 |
| 3 | 3 |
| 4 | 6 |
| 5 | 10 |
| 6 | 15 |
| 7 | 21 |
| 8 | 28 |
| 9 | 36 |
| 10 | 45 |