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Does every great circle of a sphere have to pass through its center?

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.


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.


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."


Intersection of sphere and plane that contains center of a sphere?

great circle


This is a line segment between the center and a point on the circle or sphere.?

The line segment between the center and a point on the circle or sphere is called a radius. In a circle, the radius is the distance from the center to any point on the circumference, while in a sphere, it extends from the center to any point on the surface. The radius is a crucial measurement, as it helps define the size of the circle or sphere and is used in various geometric calculations.

Related Questions

Is the center of a great circle also the center of a small circle?

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.


What is difference between great circle and small circle?

A great circle is a circle on the surface of a sphere that has the same center as the sphere, while a small circle does not share the same center as the sphere. Great circles have the largest circumference of all circles on a sphere, whereas small circles have smaller circumferences. The equator is an example of a great circle on Earth, while lines of latitude other than the equator are examples of small circles.


Does every great circle of a sphere have to pass through its center?

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.


What is called a great 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.


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.


Intersection of sphere and plane that contains center of a sphere?

great circle


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."


What is a cloesed plane figure having all points an equal distance from the center?

It is a circle or a sphere


Is a ball an example of the circle?

No, of the sphere


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.


The center of a great circle is also the center of a small circle?

If talking in terms of the shortest distance around a sphere, the answer is NO.


All points are a equal distance from the center?

It is the radius of a circle or of a sphere