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What is the mathematical definition of great circle?
A great circle is defined as the largest possible circle that can be drawn on a sphere, resulting from the intersection of the sphere with a plane that passes through the sphere's center. It represents the shortest path between two points on the surface of the sphere, making it significant in navigation and geography. Examples of great circles include the equator and the longitudinal lines on a globe.
What is the difference between spherical and circle?
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.
What is a Chords in circles?
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.
A circle drawn around a polygon so that each vertex of the polygon lies on the circle?
Circumscribed.
Is it draw a circle round or around athe correct answer?
Both usages are correct, as in these examples: "A circle is round, so it is drawn round." "I drew a circle around the correct answer."
How to draw great circles and small circles drawn?
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.
What is a great cicle?
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.
What is the largest circle that can be drawn around a sphere such as a globe?
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.)
What is a circle whose center is also the center of a sphere called?
A circle whose center is also the center of a sphere is called a "great circle." It represents the largest possible circle that can be drawn on the surface of the sphere, dividing it into two equal hemispheres. The great circle is the intersection of the sphere with a plane that passes through its center. Examples include the equator on Earth and lines of longitude.
A half circle of 180 degrees of arc which connects the earth's poles is known as?
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.
What is the mathematical definition of great circle?
A great circle is defined as the largest possible circle that can be drawn on a sphere, resulting from the intersection of the sphere with a plane that passes through the sphere's center. It represents the shortest path between two points on the surface of the sphere, making it significant in navigation and geography. Examples of great circles include the equator and the longitudinal lines on a globe.
What is any circle on the surface of a sphere whose center is at the center of the sphere?
Any circle on the surface of a sphere whose center is at the center of the sphere is known as a "great circle." Great circles represent the largest possible circles that can be drawn on a sphere and divide the sphere into two equal hemispheres. The equator of a planet and the lines of longitude are examples of great circles. In contrast, smaller circles that do not have the same center as the sphere are called "small circles."
Can there be a straight circle?
Circle in 2D is a straight figure drawn on a plane. But if we take it as a sphere,it cannot be straight.
What is the difference between spherical and circle?
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.
Which line of longitude forms a great circle with the Prime meridian?
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.
Are all parallels great circles?
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.
Why diametrically opposite lines of longitude and equator are called great circles?
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.
