Number of Chords formed by joining N Points on Circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Chords = C(Value of N,2)
NChords = C(n,2)
This formula uses 1 Functions, 2 Variables
Functions Used
C - In combinatorics, the binomial coefficient is a way to represent the number of ways to choose a subset of objects from a larger set. It is also known as the "n choose k" tool., C(n,k)
Variables Used
Number of Chords - 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 - Value of N is any natural number or positive integer that can be used for combinatorial calculations.
STEP 1: Convert Input(s) to Base Unit
Value of N: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NChords = C(n,2) --> C(8,2)
Evaluating ... ...
NChords = 28
STEP 3: Convert Result to Output's Unit
28 --> No Conversion Required
FINAL ANSWER
28 <-- Number of Chords
(Calculation completed in 00.004 seconds)

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Geometric Combinatorics Calculators

Number of Rectangles in Grid
​ Go Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2)
Number of Rectangles formed by Number of Horizontal and Vertical Lines
​ Go Number of Rectangles = C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2)
Number of Triangles formed by joining N Non-Collinear Points
​ Go Number of Triangles = C(Value of N,3)
Number of Chords formed by joining N Points on Circle
​ Go Number of Chords = C(Value of N,2)

Number of Chords formed by joining N Points on Circle Formula

Number of Chords = C(Value of N,2)
NChords = C(n,2)

What are Combinations?

In combinatorics, Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order of selection. Combinations are used to count the number of possible outcomes when the order of selection does not matter. For example, if you have a set of three elements {A, B, C}, the Combinations of size 2 would be {AB, AC, BC}. In this case, the order of the items within each combination does not matter, so {AB} and {BA} are considered the same combination.

The number of Combinations of selecting "k" items from a set of "n" items is denoted as C(n, k). It is calculated using the binomial coefficient formula: C(n, k) = n! / (k! * (n - k)!)

Combinations have various applications in mathematics, probability theory, statistics, and other fields.

What is the Chord of Circle?

The Chord of a Circle is a line segment that connects two points on the circumference of the Circle. Equal Chords are subtended by equal angles from the center of the Circle. A Chord that passes through the center of a Circle is called a Diameter of the Circle and is the longest Chord.

How to Calculate Number of Chords formed by joining N Points on Circle?

Number of Chords formed by joining N Points on Circle calculator uses Number of Chords = C(Value of N,2) to calculate the Number of Chords, Number of Chords formed by joining N Points on Circle formula is defined as the total count of possible line segments in a circle joining any two points from a given set of N points on the circle. Number of Chords is denoted by NChords symbol.

How to calculate Number of Chords formed by joining N Points on Circle using this online calculator? To use this online calculator for Number of Chords formed by joining N Points on Circle, enter Value of N (n) and hit the calculate button. Here is how the Number of Chords formed by joining N Points on Circle calculation can be explained with given input values -> 21 = C(8,2).

FAQ

What is Number of Chords formed by joining N Points on Circle?
Number of Chords formed by joining N Points on Circle formula is defined as the total count of possible line segments in a circle joining any two points from a given set of N points on the circle and is represented as NChords = C(n,2) or Number of Chords = C(Value of N,2). Value of N is any natural number or positive integer that can be used for combinatorial calculations.
How to calculate Number of Chords formed by joining N Points on Circle?
Number of Chords formed by joining N Points on Circle formula is defined as the total count of possible line segments in a circle joining any two points from a given set of N points on the circle is calculated using Number of Chords = C(Value of N,2). To calculate Number of Chords formed by joining N Points on Circle, you need Value of N (n). With our tool, you need to enter the respective value for Value of N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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