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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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โˆ™ 2010-05-03 05:15:52
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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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Sure.A circle is the shape of every possible CUT through a sphere with a flat knife.

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.

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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.

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.

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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.

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A sphere is a solid figure in which every point is equidistant from a fixed point called the center.

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