2007-05-14 08:02:13 · 11 answers · asked by WWF Decade Impaired Fan 2 in Science & Mathematics ➔ Mathematics
A square does have a diameter.
In a general set, the diameter is (very rigorously speaking) the supremum of the distances between any two points in the set.
If that didn't make any sense to you: The diameter of a set is (slightly roughly speaking) the length of the longest line you can draw between two points in that set.
In a square, the longest line you can draw between two points will go from one corner to the other. So the diameter will be the length of the line from one corner to the other.
You can use the distance formula (or the Pythagorean Theorem) to discover that this length is s√2, where s is the side length of the square.
So the diameter of a square with side length s is s√2.
2007-05-14 10:48:40 · answer #1 · answered by Anonymous · 0⤊ 1⤋
A square doesn't have a diameter. the longest distance inside a square would be it's diagonal which is the square root of 2 times the length of one of it's sides.
I'm just throwing this out there because the diameter of a circle is the longest distance between "sides" of a circle.
2007-05-14 08:06:33 · answer #2 · answered by nckobra40 3 · 0⤊ 1⤋
If a square were squished into a circle of the same area, then it's diameter would be half it's perimeter divided by the square root of pi.
If the square were squished into a circle with the same circumference, then it's diameter would be the entire perimeter of the square divided by pi.
2007-05-14 08:10:59 · answer #3 · answered by knashha 5 · 0⤊ 1⤋
A square does not have a diameter. A circle or sphere has a diameter.
Aa square had a lenght which is equal to its width.
2007-05-14 08:05:00 · answer #4 · answered by Anonymous · 0⤊ 1⤋
A line from corner to corner is called a DIAGONAL.
Example
A square has side of 5 cm. Calculate diagonal , d.
d² = 5² + 5²
d² = 50
d = â50 cm = 5â2 cm
2007-05-14 10:42:24 · answer #5 · answered by Como 7 · 0⤊ 1⤋
Squares don't have diameters.
2007-05-14 08:04:47 · answer #6 · answered by bictor717 3 · 0⤊ 1⤋
I thought only circles had diameters
2007-05-14 08:11:08 · answer #7 · answered by Anonymous · 0⤊ 1⤋
You probably mean the length of the diagonal?
Use the pythagorean law.
A square with side length of s
s^2 + s^2 = diagonal^2
has a diagonal length of sqrt(2*s^2) = s* sqrt(2)
2007-05-14 08:07:29 · answer #8 · answered by corgi 3 · 0⤊ 1⤋
diameter applies to circles only
2007-05-14 08:04:39 · answer #9 · answered by . 5 · 0⤊ 1⤋
diagonal = side * square root of 2
2007-05-14 09:00:10 · answer #10 · answered by pioneers 5 · 0⤊ 1⤋