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Let's be very careful here: The "great circle" of a sphere is a circle that lies on the surface of
the 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.
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Is a sphere and a circle the same shape?
Sure.A circle is the shape of every possible CUT through a sphere with a flat knife.
What degree in cross section of a sphere?
Every cross-section of a sphere is a circle.
What is a point equidistant from every point of the circle?
It is the center of the circle
What shape does a circle have?
A circle has a round shape in which every point on the circle is the same distance from one point called "the center". The center of a circle is not on the circle.
What is the precise definition of the word centres?
The precise definition of the word 'centres' is the middle point of a circle or a sphere. This means the point is an equal distance from every point on the circle/sphere.
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.
Why diametrically opposite lines of longitude and equator are called great circles?
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.
Is a sphere and a circle the same shape?
Sure.A circle is the shape of every possible CUT through a sphere with a flat knife.
What degree in cross section of a sphere?
Every cross-section of a sphere is a circle.
The center of a circle lies on what?
Every diameter of the circle.
Every point on a circle is the same distance from the?
... center of the circle.
What is a point equidistant from every point of the circle?
It is the center of the circle
What shape does a circle have?
A circle has a round shape in which every point on the circle is the same distance from one point called "the center". The center of a circle is not on the circle.
What is the precise definition of the word centres?
The precise definition of the word 'centres' is the middle point of a circle or a sphere. This means the point is an equal distance from every point on the circle/sphere.
Is every chord of a circle also a diameter?
No. The chord is a diameter only if it passes through the center of the circle. In that case,it's also the longest that any chord can possibly be in that circle.
What do you notice about the cross section of a solid sphere?
Every section of a solid sphere is a filled-in circle, i.e. a disk with zero thickness.
How is the word 'sphere' defined?
A sphere is a solid figure in which every point is equidistant from a fixed point called the center.
