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12 answers

A circle and a square with the same diameter will have a different circumference obviously, and a circle and a square with the same circumference will have different diameters, I don't know if that answers your question, but it was fairly vague.

2006-07-03 10:40:15 · answer #1 · answered by KP 2 · 0 1

Wish I could draw pictures..

Imagine a circle inside a square, so that the circle touches the square at the top, bottom, and two sides. Now imagine another circle, which just touches the four corners of the square.

Neither of those circles have anything in common with the square except that their diameters are the same as the square's side and diagonal, respectively.

However, it is possible to calculate the diameter of a circle that has the same circumference or area as a square. (but not both) It will have no obvious geometric derivation.

2006-07-04 00:39:22 · answer #2 · answered by Computer Guy 7 · 0 0

There's an ancient problem called "squaring the circle" where you have to find a square that has the same area as a given circle (or a circle with the same area as a given square). The problem is famous because it was later shown to be impossible to do using only "algebraic" numbers (you have to use pi, which is not algebraic).

Now that we know about pi, though, we can easily solve the problem. But the square and the circle will not have the same "diameter" (if we call the length of the square's side its "diameter") or "circumference" (if we call the square's perimeter a "circumference"), only the same area.

2006-07-03 19:03:06 · answer #3 · answered by Sarah N 3 · 0 0

A square does not have a "diameter". Given any square, you can always draw a circle that has the same circumference as that square, but the circle will be bigger (cover more area) than the square.

Basically, circles are round and squares are, well, square.

2006-07-03 18:12:39 · answer #4 · answered by enginerd 6 · 0 0

If a circle is put inside a square, the diameter of the circle is equal to the width of the square.

2006-07-03 19:20:11 · answer #5 · answered by lbsoccerboy23 2 · 0 0

A circle sitting right in a square so their edges are touching has the same diameter as the square, yup.

2006-07-03 17:39:14 · answer #6 · answered by Rachel M 3 · 0 1

The formula for the area of a square is simple: side times side = area. The formula for the area of a circle is VERY complicated because it is pi times Radius times Radius (PiR2). The number that Pi represents, however, is an infinite number. This bizarre fact means that one can never exactly make a square of a circle because one can--never--exactly know what the circle's area is.

2006-07-03 17:40:29 · answer #7 · answered by Anonymous · 0 0

If a circle were inscribed in a square, it's area would be approximately 21.5% less than the square's.

If a circle circumscribed the corners of a square, it's area would be approximately 36.4% more than the square's.

To prove this, compare the ratio of a circle's area to that of a square.

2006-07-03 20:41:09 · answer #8 · answered by mgurreri01 1 · 0 0

technically speaking, the terms circumference and diameters are used to describe a circle not a square.

2006-07-03 18:17:19 · answer #9 · answered by Anonymous · 1 0

There is a uniqe ratio held by circles, squares, rectangles, lines, and triangles. It is called the golden ratio.

2006-07-03 18:41:32 · answer #10 · answered by me 4 · 0 0

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