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


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... center of the circle.


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