That's called a "great circle" of the sphere.
-- It's any circle whose center is at the center of the sphere.
-- Its diameter is equal to the diameter of the sphere.
-- Its area is equal to 1/4 the surface area of the sphere.
-- The shortest distance between any two points on the sphere is
along the piece of the great circle on which they lie. (There's only
one, unless the two points are the opposite ends of a diameter.)
No, not all parallels are great circles. A great circle is the largest possible circle that can be drawn on a sphere, and it divides the sphere into two equal hemispheres. Parallels, or lines of latitude, are circles that run parallel to the equator, and only the equator itself is a great circle. Other parallels, such as those near the poles, are smaller circles and do not divide the sphere into equal halves.
The ratio is pi/4.
The radius of the largest circle you can fit is 2.72cm
Two meridians can form a great circle when they are 180 degrees apart, as they represent opposite points on the Earth's surface. For example, the Prime Meridian at 0 degrees and the Antimeridian at 180 degrees are such meridians. Any two meridians that are 180 degrees apart will create a great circle, which is the largest circle that can be drawn on the surface of a sphere.
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
general astronomy
To draw a great circle on a sphere, start by defining the diameter as the largest circle that can be drawn on the sphere's surface. For small circles, choose a point on the sphere and draw a circle with that point as the center and the radius less than the sphere's radius. Remember that the center of a small circle lies outside the circle on a sphere's surface.
Much bigger and better than a regular circle... But seriously, a great circle on a sphere is a circle that runs along the surface of that sphere and cuts it into two equal halves. It is the largest circle that can be drawn on a given sphere. The center of any great circle is the center of the sphere.
The half circle of 180 degrees of arc connecting the Earth's poles is known as a great circle. This is the largest circle that can be drawn on a sphere and it divides the sphere into two equal hemispheres.
Circle in 2D is a straight figure drawn on a plane. But if we take it as a sphere,it cannot be straight.
A sphere is a three dimentional shape, a circle is a two dimentional shape. You can't pick up a circle, it can only be drawn. In differential geometry, a one dimensional sphere is a point, a two dimensional sphere is a circle and a three dimensional sphere is what we call a "sphere", there is no limit to the number of dimensions a sphere can have.
The 180th meridian or antimeridian is the meridian which is 180° east or west of the Prime Meridian with which it forms a great circle.
A 'great circle' is any circle on the surface of a sphere that has its center at the center of the sphere. The equator is the only parallel of latitude that's a great circle. Every meridian of constant longitude is a semi-circle, and together with the one directly opposite it, they form a great circle. The shortest distance between two points on a sphere is the piece of the great circle through them.
ones that can be drawn in the plane such as a triangle, circle, etc. A sphere is not one.
The reason is because it is in the middle of the earth so it makes the biggest, most round circle, (around the Earth). it has the farthest to go around thus creating a perfectly round circle of latitude around Earth........................(i'm 13)
They're not. A "great circle" is a circle drawn on a sphere that has its center at the center of the sphere. -- The only line of latitude that's a great circle is the equator. None of the others are. -- Each meridian of longitude is 1/2 of a great circle. In order to form a complete great circle, you have to glue it together with the other meridian of longitude that's directly opposite it on the other side of the globe. Like the Prime Meridian and 180° longitude, or 34° east longitude and 146° west longitude.
The universal sign for anarchist consists of an exaggeratedly drawn ''A'' with a circle drawn around it.