How many chords are determined by seven points on a circle?
How do you do it, not answer.
How many chords are determined by seven points on a circle?
How do you do it, not answer.
each point of the 7 is connected to 6 others.
So, going through all 7 points, you have 7*6 = 42 connections.
But, having gone all the way around, you have drawn each chord twice, once from each end. So, divide the total by 2 to get
7*6/2 = 21 chords
To determine the number of chords formed by seven points on a circle, you can use the concept of combinations.
Step 1: Understanding the problem
In this problem, we have a circle and seven points on the circumference of that circle.
Step 2: Define a chord
A chord is a line segment joining two points on a circle.
Step 3: Identify the number of possible combinations
To calculate the number of chords formed by the seven points, we need to find the number of possible combinations of two points from these seven points. This is because each chord is formed by joining two of the seven points on the circle.
Step 4: Calculate the number of combinations
To find the number of combinations, you can use the formula for combinations:
C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen.
In this case, we have seven points (n = 7) and we want to choose two points to form a chord (r = 2).
C(7, 2) = 7! / (2!(7-2)!)
= 7! / (2!5!)
= (7 * 6 * 5!) / (2 * 1 * 5!)
= (7 * 6) / (2 * 1)
= 42 / 2
= 21
Therefore, there are 21 chords determined by the seven points on a circle.