math problems
posted by juliann .
If you cut a pizza into 45 degree wedges meeting at a point other than the center and two people eat alternative slices, do they each get the same amount?

Surprisingly, if you make 4 slices, the answer is no. But if you make 8 slices as wanted, the answer is yes. A google search on "pizza 45 degree slices" turns up a book on google books named "Which way did the bicycle go?"
It contains a nice article which shows that you can use calculus and polar coordinates to prove it.
Respond to this Question
Similar Questions

4th grade
At one table, some of the students shared 3 pizzas. Each pizza was cut into 8 slices. After the students shared the pizza equally, there were 3 slices left over. How many students shared the pizza? 
math
Chris eats 3 slices of a pizza that is cut into 8 equal slices. What percentage of the pizza does he eat? 
math
the pizza was cut into 10 slices two people ate 4/5 of it they did not eat the same amount how many slices might each have eaten? 
Math
A pizza was cut into 6 slices. Ben ate 1/3 of the pizza. How many slices did he eat? 
Math
A pizza was cut into 6 slices. Ben ate 1/3 of the pizza. How many slices did he eat? 
Math
A pizza was cut into 6 slices. Ben ate 1/3 of the pizza. How many slices did he eat? 
math
Peyton has two pizzas.Each pizza is cut into 10 equal slices.She and her friends eat 14 slices. What part of the pizzas did they eat? 
Math
You order a pizza. The pizza has a diameter of 14 inches and it is cut into 12 equal slices. You eat four slices, how much of the area have you consumed. How long is the remaining crust. 
math
You order a pizza. The pizza has a diameter of 14 inches and it is cut into 12 equal slices. You eat four slices, how much of the area have you consumed. How long is the remaining crust. 
Math 3rd grade
Ms. S cut a pizza into 8 equal slices. Each person in her family ate 2 slices. If there are 3 people in her family, what fraction of pizza did they eat all together?