The great circle has circumference 40pi and we know circumference is 2pixr so 20 is the radius of the sphere. Now use this and the formula that surface area is 4pir^2 so the surface are is 4pi(20)^2. or pi(1600)
21.99
It is the shape formed by three non-collinear points on the surface of a sphere which are joined together by straight lines in which two of the sides are of the same length. An example might be a triangle from the earth's North pole to two points on the same latitude - specially the equator.
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
There are an infinite number. If you draw two great circles, no matter how close together they are, I can always draw a great circle ... or 2 or 3 or 10 ... between them.
The two points and the centre of the earth define a plane, and the intersection of this plane with the surface of the earth is a circle - the "Great Circle". The shortest distance between the two points is the smaller of the two arcs on this circle.
A great circle is any circle on the surface of a sphere whose center is at the center of the sphere. The shortest distance between two points on the surface of a sphere is a part of the great circle that passes through them.
A circle on the surface of a sphere that has the same radius as the sphere.
Let's be very careful here: The "great circle" of a sphere is a circle that lies on the surface ofthe sphere, so there's no way the great circle can "pass through" the sphere's center.However, in order for the circle to be a "great circle", its center must be the center of the sphere.
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 great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
21.99
A "great circle" is any circle on a sphere whose center is also the center of the sphere. The shortest distance between two points on the surface of a sphere is a piece of the great circle on which both points lie. A "small circle" is any circle on the sphere that's not a 'great' circle.
31,416 units2
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.
No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.
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.)
An equator is a circle that divides the surface of an object into two equal halves. The term is usually used to explain the circle that divides a plane,t like the Earth, in to two hemispheres.