0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Does a rhombus always have equal angles?
No, not really. Take a kit for example. The shape is the shape of a rhombus, but the angles are not equal.
How do you determine the surface area of a partial sphere?
Take the surface area of the sphere as of it was whole, and divide by the amount of the sphere that is missing.
How can two rectangles have the same area and different perimiters?
It could happen. For Example: If one of the sides is 4 inches and the other is 3 inches--Area: 12Perimeter: 18But if one side is 2 inches and the other is 6 inches:Area: 12Perimeter: 16____________I think the questioner knows it happens, and is wondering why it happens.You may have heard this, but it will make sense intuitively even if you haven't. A soap bubble is a sphere because it is the natural shape that has the smallest surface area that the gas within can take. What force would there normally be keeping a single free-floating bubble in any shape other than a sphere? In your mind, stretch a bubble out to be any shape other than a sphere, and you will sense that the new shape can't be sustained by nature; natural forces will bring the bubble back to a sphere. Under ordinary circumstances you have never seen a bubble that is not a sphere, or that is not tending toward a sphere-like shape given other limiting factors, like the bubble resting on the surface of water, or bubbles grouped together.It won't be surprising then that a circle of a given area will have a circumference a little smaller than the perimiter of a square with the same area. A circle with radius=1 will have an area of pi square units. A square that has one side equal to the square root of pi will have an area of pi square units. The circumference of a circle is equal to pi times the diameter (2 X the radius). So our circle has a circumference of 6.28318. The square of equal area will have a perimiter of 4(square root of pi), or 7.08981. You will get similar results comparing the surface areas of a sphere and a cube of equal volume.In the plane geometry of rectangles exclusively, a square with 32 units on one side will have an area of 1024 square units. If a rectangle has 8 units on one side the other side has to be 128 units to come to an area of 1024, for a perimiter of 272 units. If a rectangle is 4 units on one side, the other side must be 256 units to come to an area of 1024, and the perimiter is 520. If one side is .5 units long, the other side must be 2048 units, and the perimiter is 4097 units!Think of it this way. Visualize a square. In the square, every unit of width distributes the same 'area' across every unit of height, and every unit of height distributes the same 'area' across every unit of width; there is an efficient distribution of area across dimensions (if you want your final shape to remain a square), not unlike a bubble that pulls itself by natural forces into the smallest ratio of surface area to volume.Another way of thinking about this: Length of perimiter is, obviously, a linear measure-- you are adding the lengths of lines. Lines have one dimension in Euclidean geometry. Take a line parallel to the y axis and that is arbitrarily long (as long as you want to imagine it). So far there is no area whatsover, right? By extending a line from the base and parallel to the x axis, you can define a rectangle with an area arbitrarily close to zero, or approaching infinity. The area of a shape is not necessarily proportional to the lengths of any of the sides of the shape.
What fraction of a cylinder does a sphere inscribed into the cylinder take up?
Two-thirds.
How do you calculate the area of a sphere knowing just the diameter?
-- Take 1/2 of the diameter. That's the 'radius' of the sphere. -- 'Square' the radius. (Multiply it by itself.) -- Multiply the result by 4 pi. You now have the surface area of the sphere. P.S.: There really isn't anything else to know about a sphere other than its diameter.
Why does liquid water take the shape of a sphere?
cube
Why do planets take on a spherical shape?
Every planet has a center of gravity, anda sphere is the mostgravitationally stable shape for a planet to have.
What shape does each planet take?
A planet is said to be in `hydrostatic equilibrium, its shape is formed roughly into a sphere by its own gravity. Most planets rotate enough for the sphere to flatten out ever so slightly, squashed at the centre, so really they are `oblate spheroids`.
What will always take the shape and volume of its container?
water. :)
What will always take shape and volume of its container?
water. :)
Can liquids change their shape?
Yes. A liquid will always take its shape after the container it's in.
Does liquid have a definite shape?
No, liquid doesn't have a definite shape. Liquids always take on the shape of the container they're in.
Can gas take the shape of its container?
yes, and it always does
What gave earth its spherical shape?
A sphere is the easiest shape to form. Other shapes like cubes, triangular prisms, and or cylinders take more energy to make. Earth got its shape from the constant rotation on its axis.
Why does liquid take the shape of a sphere when in zero gravity and gases does not?
It is due to surface tension. Surface tension is only for liquids. Due to surface tension surface energy is to be minimized only reducing the area. For a given volume sphere has minimum surface area. Hence spherical shape.
Does a liquid keep its shape in a container?
Liquids always take the shape of the container that they are in. This is the basic definition of a liquid.
Why does water fall as raindrops?
Water will try to take a shape that represents the lowest energy. If water were in a vacuum this shape would be sphere. As the air runs past the falling droplet this sphere sees atmospheric drag. This distorts the shape of the sphere. Furthermore, the droplet if possible, would "like" the air to flow past it in laminar, non turbulent stream. Since the drop is elastic to tends to form a shape not unlike the cross section of an airplane wing. This is a shape that tends to be in the lowest energy and to provide for smooth flow of air over the surface of the drop.
