What is 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. Using one line, the circle can be divided into two parts.

How many regions are there in a 6 point circle?

31
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.

How many regions are there in a 7 point circle?

57 regions
If we add a 7th point, and count very carefully, we get 57 regions.

What are the 9 dots called in Google?

The ‘Waffle’ is the grid of nine small grey boxes that you find in the top right corner of your browser when you are using Gmail, Google Drive, Google Calendar, Google Keep etc.

How to join polylines, lines, arcs, and circles?

Select the first object you want to join. Select the second object. Non-parallel lines are extended or shortened to their intersection point, and are filleted automatically with a radius value of 0. Polylines are edited only if they are clicked near their endpoint. Was this helpful? Post a question. Get an answer.

Can you draw 3 straight lines with 9 circles?

Draw 3 straight lines without removing pen from paper such that each of the 9 circles is in contact with at least one line. A similar problem is present here Connect 9 dots using 4 lines. The difference from above problem is that here there are 9 circles not 9 points. Also we can only draw 3 lines.

How to connect 9 circles in a matrix?

Consider 9 circles each arranged at the center of cells of a 2-D matrix of shape 3*3. Draw 3 straight lines without removing pen from paper such that each of the 9 circles is in contact with at least one line. A similar problem is present here Connect 9 dots using 4 lines.

How are 9 circles different from 9 points?

The difference from above problem is that here there are 9 circles not 9 points. Also we can only draw 3 lines. The thing to notice is that since these are circles, not points, we can draw a line that is tangent to the circle. There is no need to pass the line through the center as the only contact with the circle is required.

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