# How many regions would a design with 6 circles create?

Table of Contents

## How many regions would a design with 6 circles create?

For example, the vertices of a regular hexagon on a circle will generate only 30 distinct regions from its crossed chords. To obtain the maximum number of regions, students must permit at most 2 chords to intersect at the same point.

## How do you calculate area of a shape?

Area is calculated by multiplying the length of a shape by its width. In this case, we could work out the area of this rectangle even if it wasn’t on squared paper, just by working out 5cm x 5cm = 25cm² (the shape is not drawn to scale).

## What is the maximum number of regions that can be formed?

Approach : The above image shows the maximum number of regions a line can divide a plane. One line can divide a plane into two regions, two non-parallel lines can divide a plane into 4 regions and three non-parallel lines can divide into 7 regions and so on.

## What is the greatest possible number of points of intersection of 8 straight lines and 4 circles?

104

## What is the maximum number of crossing points with five lines?

10 points

## What is the maximum number of points of intersection when two circles?

two

## What is the maximum number of points of intersection of 5 nonoverlapping circles?

What is the maximum number of points of intersection of 5 non- overlapping circles? A. 10.

## What is the largest number of points of intersection?

Since you are asking for maximum number of points of intersection, the answer is 6. First two lines can intesect at maximum of 1 point. Then the third line can intersect these two lines at max 2 points and finally the fourth line can intersect these three lines at max 3 points. So total no.

## What is the maximum and minimum number of points of intersection of four lines?

Answer: Maximum number of points of intersection of four lines in a plane will be six. Minimum number of points of intersection of four lines in a plane will be zero.

## Can four lines have only two intersection points?

Four lines can intersect in at most 42−42=6 points. And in fact you can find an example of lines intersecting in 0, 1, 3, 4, 5 and 6 points. Obviously there isn’t any way how four lines can intersect in two points.

## Do planes extend infinitely?

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.