What is the maximum number of regions that can be formed if 6 lines are drawn to cut a circle?

What is the maximum number of regions that can be formed if 6 lines are drawn to cut a circle?

SOLUTION: Using six lines, we can cut the circle into 22 pieces at maximum.

How many regions are formed by the line segments that connect 6 dots on a circle?

The powers of 2 pattern breaks down when we choose 6 points on a circle. The maximum number of regions that we can obtain from crossing chords with 6 points is 31.

What is the largest number of regions you can find if you divide a circle by picking seven points?

Another way to impose the “random” condition is to say that the points must be placed to get the maximum number of regions. The picture above right gives the answer 31 regions for n=6— not 32 but 31! If we add a 7th point, and count very carefully, we get 57 regions.

What is the maximum number of parts into which a circle may be divided by drawing four straight lines?

If you cut it with FOUR straight lines you get a maximum of ELEVEN bits.

How many regions are in 6 dots?

Number of regions = 2(n-1) It looks good so far, doesn’t it! (When you draw your dots, you have to arrange to get the maximum number of regions. This means that no more than two lines must cross at any single point.) And obviously if we use SIX dots we’d expect to be able to get 2(6-1) = 2(5) = 32 regions, wouldn’t we?

How many regions do n lines divide the plane into?

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 do you divide a circle into 6 equal parts without a compass?

Use a ruler to draw a straight line through the center of the circle. This is the first of three lines you will need to draw to divide the circle into 6 parts. Every line, including this one, should cross the exact center of the circle and divide two of the six inner “flower petals” of your drawing in half.

How many pieces can you cut from a circle?

Using six lines, we can cut the circle into 22 pieces at maximum. Using one line, the circle can be divided into two parts. Two lines divide the circle into four parts. Three lines divide the circle into seven unequal parts.

How are the parts of a circle divided?

Using one line, the circle can be divided into two parts. Two lines divide the circle into four parts. Three lines divide the circle into seven unequal parts. Four lines cut the circle into eleven parts.

How do you divide a circle in Excel?

Separate into parts using the arrow keys. While dragging the circle, press on the right arrow key until you see that the circle has been divided into 6 equal parts. If you accidentally press the key too many times, simply push the left arrow key to decrease the number of divisions.

How do you divide a circle in illustrator?

Dividing Through Adobe Illustrator Launch Adobe Illustrator. If you have a shortcut on your desktop, you can open the application by double-clicking on this icon. Locate the Polar Grid tool. The Polar Grid tool is one of the options in the toolbar on the left side of your screen. Click and drag to create a circle.