# math

What is the maximum number of pieces you can divide a circular pizza into with 4 cuts? [All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza, and you may not move the pizza slices.]

1. 👍
2. 👎
3. 👁
1. Assuming there is no limit on the size of the individual pieces, e.g. NOT x pieces of equal area.

No cut: 1 slice
1 cut: 2 slices
2 cuts: 4 slices (last cut intersects one previous cut, so adds two pieces)
3 cuts: 7 slices (last cut intersects 2 previous cuts, so adds 3 pieces)
4 cuts: (last cut interesects 3 previous cuts, so adds 4 pieces).
... and so on.

1. 👍
2. 👎

## Similar Questions

1. ### Math

For any circle, which ratio is equal to the number π? Select all that apply. ***A. Circumference ------------------- Diameter B. Circumference ------------------- Radius ***C. Circumference ------------------- 2 Times Radius D.

2. ### math

Three friends have 1/2 a pizza left. If they divide it evenly, what fraction of a pizza will each friend get?and i already tried and i didnt understand

3. ### Algebra

Tammy bought a bag of bite-sized candies. A serving of 4 pieces of candy is 165 calories. Part 1 Which equation represents the number of calories, c, in x pieces of candy? A. c=4/165x B. c=165/4x C. c=165x+4 D. c=4x+165 Part 2 How

4. ### Math

A pizza is cut into 12 pieces. Describe the steps you would take to find the area of one slice of the pizza.....Help?!

1. ### math

Yoshi has a rope 30 feet long. He must cut it into pieces that are 1/4 long. Will he get more or fewer than 30 pieces? I think more because he will divide it. So I think he will get 120 pieces. Is this correct?

2. ### math

A length of ribbon is 3 1/2 yd long. How many pieces 1 5/9 yd long can Joy cut from the ribbon? 1 2 3 4 Which number is equivalent to 0.45? 1/45 5/11 4/5 1/4 What is 3.56 x 10 *5 in standard notation? 356,000 3,560,000 0.00356

3. ### Math

1. At a basketball game, the ratio of the number of freshmen who attended to the number of juniors who attended was 3 to 4. The ratio of the number of juniors who attended to the number of seniors who attended was 7 to 6. What was

4. ### math

My three friends and i ordered 2 pizzas. Each pizza was cut into 8 pieces.Each of us ate 3 pieces.What fractions of a pizza did each of us eat?What fraction of a pizza remained?

1. ### Physics

5. A circular pizza of radius R has a circular piece of radius R/3 removed from one side. The center of mass of the pizza with the hole is at a distance of_____ from the center of mass of the original pizza. A. R/20 B. R/2 C. R/30

2. ### math

Jaden bought a large pizza to share with his friend . the pizza was cut into 10 pieces . Jaden ate 4/7 of the pizza but had to stop because he was to full .His friend ate 3/8 of the pizza and decided to save the rest of his pizza

3. ### math

The principal ordered four pizzas for the twelve students of the month. If each pizza has 8 pieces, what is the ratio of pieces of pizza to students of the month? Reduce your answer to lowest terms.

4. ### math

One line can divide a plane into two regions. Two lines can divide a plane into four regions. Three lines intersecting at a point can divide a plane into six regions, but you can get more regions than that if the lines don't