What is the minimum number of straight lines required to enclose a region?

What is the minimum number of straight lines required to enclose a region?

Answer: minimum number of lines required to make a closed figure are 3 because using 3 lines we can make a triangle.

How do you find the number of straight lines?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

What is the maximum number of closed regions that can be formed by drawing four lines inside a circle?

The answer is 22. I’m assuming you mean straight lines. If there are no lines crossing a circle, the number of regions is of course 1.

How many regions can be formed by 2 planes?

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 minimum number of straight line?

The vertical lines are AE, LF and KG i.e. 3 in number. The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number. Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

What is the minimum number of the lines required to make a closed figure?

3
The minimum number of line segments required to make a closed figure is 3, and the figure so formed is a triangle.

How many straight lines can be formed joining n points?

Complete step by step answer: As the ${\text{n}}$ points are on a circle, a straight line can be drawn by connecting any 2 points. So, the number of straight lines formed will be equal to the number of ways 2 points can be selected from the ${\text{n}}$ points on the circle.

How many minimum straight lines are required to draw the given figure?

What is the greatest number of pieces that can be formed by 6 straight cuts?

22 pieces
What is the maximum number of pieces that one can cut the circle using these six straight lines? SOLUTION: Using six lines, we can cut the circle into 22 pieces at maximum.

What is the maximum number Ln of regions defined by N lines in the plane?

The maximum number Ln of regions in the plane that can be defined by n straight lines in the plane is: Ln=n(n+1)2+1. This sequence is A000124 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

How many regions can a line cross over a line?

Leaving that point on one side of the third line means that the line won’t be able to cross all four already existent regions, but at most only three – one more than there are lines. This gives a clue to a general case.

How many regions does one straight line divide a plane into?

As one straight line divides the plane into 2 regions. Two straight lines (parallel to each other) divides the plane into 3 regions, and so on. n straight lines (parallel) divides the plane into n+1 regions.

What is the maximum number of regions on a plane?

Maximum number of regions on a plane formed due to non-parallel lines 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.

How many regions can be formed from a cluster of lines?

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. When the n th line is added to a cluster of (n-1) lines then the maximum number of extra regions formed is equal to n. Now solve the recursion as follows: