How many pieces can you cut a circle into?

What is the maximum number of pieces that one can cut the circle using these six straight lines? 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.

Can you find a function that gives the maximum number of pieces from N cuts?

Theorem: The maximum possible number of pieces with n such cuts is exactly (n2 + n + 2)/2. We prove this theorem by induction on n. The base case says that we have (02 + 0 + 2)/2 = 1 piece with no cuts, which is true.

What is the greatest number of parts of a circle that can be formed by cutting the circle with 7 straight cuts Note the parts do not have to be equal in size?

This is a known problem: it is appropriately called the Circle Cutting Problem. In your case, f(7)=12(49+7+2)=12(58)=29. and so, for 7 cuts,f(7)=(82)+1=29.

What is the maximum number of pieces in which a cake can be cut by using four straight cuts?

so,for 4 cuts, answer is 11. Final cut – Cut through the centre of one quadrant such that your final cut intersects two previous cuts, resulting in 14 pieces of cake.

How many lines can you draw in a circle?

Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry.

What is the maximum number of pieces that can be cut from a paper circle with four straight cuts if none of the pieces are moved or folded between cuts?

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

What is the maximum number of pieces that can be cut into with 10 cuts?

Here’s the solution for Brain Out Level 83 What is the maximum number of pieces that a watermelon can be cut into with 10 cuts. So the answer is 1024.

What is the maximum number of pieces you can make out of a pizza with three straight cuts?

The maximum number of pieces you can get with 3 straight cuts from a circular or rectangular pizza is 7.