What is the total number of line segments possible on a circle?

There are total 24 points on the circle, so each point will make 23 line segments. Therefore total line segments possible should be 23×24. But in this case every line segment is twice so the answer is 23×24/2=276. 25 insanely cool gadgets selling out quickly in 2021.

How many points on a circle can be marked red?

Ten points are chosen on a circle. A line segment is drawn between every pair of chosen points. Every time two line segments intersect inside the circle, that intersection point is marked red. What is the largest number of points that can be marked red?

How to calculate the number of segments in a graph?

Number of segments 2 points 1 segment = 2 × 1 / 2 3 points 3 segments = 3 × 2 / 2 4 points 6 segments = 4 × 3 / 2 5 points 10 segments = 5 × 4 / 2 n points n × ( n -1 ) / 2 segments

What is the difference between a line and a segment?

A line segmentis just a small part of a line. It starts at one point and ends at another. In the picture above we see the difference between a line, a ray and a segment. The line is the figure at the top. There are no points at the end, and we are supposed to think of the line as going off to infinity at both ends.

How many lines can be formed from 10 distinct points?

The number of ways to select any points (out of 10 distinct points) will be 10 C 2. Once we select the points, there is only 1 straight line which will be formed using these points. Therefore the number of lines will be 10 C 2 x 1 or 45. Here’s a crazy figure to illustrate.

How to count the number of lines in a collinear group?

Let’s divide the points in two groups: the collinear group of 4 points, and the non-collinear group of 6 points. To count the number of lines, we have three possible cases. First, the lines formed using the points of the collinear group – only 1 line. Second, the lines formed using only the points of the non-collinear group – 6 C 2 or 15 lines.