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Earn +20 ptsQ: Intersection of sphere and plane that contains center of a sphere?
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What is the shape of the dark grey area representing the intersection of the plane and the sphere?
We're having a hard time making out the dark grey area from here. But the intersection of a plane and a sphere is always a circle.
What type of geometric figure is formed by the intersection of a plane and sphere?
A Circle.
What is a shape of the intersection of a sphere and a horizontal plane?
A circle, which could degenerate to a point.
What is the shape of the dark area representing the intersectionof the plane and sphere?
The dark area is so dark that I'm unable to see it from here. But I do know that in general, the intersection of a plane and a sphere is a circle.
How many planes of symmetry does a sphere have?
A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
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