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
A Great Circle is the largest circle that can be drawn on any sphere. Mercator's Chart projection is the great circle chart.
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.
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 equator is the only line of latitude that is a great circle because it is the only line that divides the Earth into two equal halves. A great circle is the largest circle that can be drawn on a sphere, and the equator meets this criteria by encircling the Earth's widest point.
ones that can be drawn in the plane such as a triangle, circle, etc. A sphere is not one.
The universal sign for anarchist consists of an exaggeratedly drawn ''A'' with a circle drawn around it.
Circumscribed.
The ratio is pi/4.
A chord is a straight line drawn through a circle which divides the circle into two parts. The line can be drawn anywhere in the circle EXCEPT the center where it becomes the diameter.
The radius of the largest circle you can fit is 2.72cm