Question

You can cut a pizza into a maximum of 7 peices with only 3 straight cuts. what is the greatest number of peices you make with 6 straight cuts?
(please show the diagram of the pizza cause i have to show my work.)

Answer 1

thank you so much. i was strugling with this.

Answer 2

this page may be helpful

http://www.cut-the-knot.org/proofs/LinesDividePlane.shtml

Answer 3

thanks everyone!

Answer 4

@mathstudent55 just curious, why do we cut on your way? Is there any special reason?

Answer 5

What I tried to do was to intersect all previously drawn lines in the circle with every new line.

Answer 6

I do admire your 3 straight cut to get 7 pieces, :)

Answer 7

Start with a circle and one line.

Answer 8

mathstudent55 is making as many intersections as possible. The more intersections, the more regions you create. The page I posted points this out.

Answer 9

Now add a line that intersects the existing line inside the circle.

Answer 10

Thank you @jim_thompson5910

Answer 11

Now draw line 3 that intersects lines 1 and 2 inside the circle in two different points.

Answer 12

Now line 4 has to intersect lines 1, 2, and 3 at 3 different points all inside the circle.

Answer 13

WOOOOOOOAH 18 pieces, open my eyes. :)