Question

Four points are placed on a circle. How many segments will it take to connect each point to every other point?

A. 3 segments

B. 4 segments

C. 6 segments

D. 8 segments

Answer 1

It will take 4 segments.

Answer 2

6 segments are required to connect each point to every other point.

Explanation:

If four points are placed on a circle.Then as we know the segment is a line that join two points.

Now as we are given four points on the circle.

• so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
• Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
• similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
• and hence by the above three steps the fourth point is connected to all the points.

Hence, 6 segments are required to connect each point to every other point.