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.)
The ratio is pi/4.
The radius of the largest circle you can fit is 2.72cm
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.
If you mean can a circle always be drawn round a quadrilateral so that the quadrilateral is enclosed within the circle then yes as long as the diameter of the circle is large enough. If you mean can a circle always be drawn around a quadrilateral so that it passes through all vertices then only if the opposite angles of the quadrilateral add up to 180o - such quadrilaterals are called cyclic quadrilaterals.
It's the extension of the sphere's radius drawn to that point.
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 International Date Line forms a great circle with the Prime Meridian. A great circle is the largest possible circle that can be drawn around a sphere.
Diametrically opposite lines of longitude and the equator are called great circles because they are the largest circles that can be drawn on a sphere. These circles divide the sphere into two equal halves and pass through the center of the sphere, making them great in size and significance.
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)
Lines of latitude and longitude are called great circles because they are the largest circles that can be drawn on a sphere, having a center at the sphere's center. Great circles are important for navigation as they represent the shortest distance between two points on the surface of a sphere.
The universal sign for anarchist consists of an exaggeratedly drawn ''A'' with a circle drawn around it.