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What is one possible cross section of a sphere?
One possible cross section of a sphere is a circle. When a plane intersects the sphere, the shape of the intersection can vary depending on the position of the plane. If the plane cuts through the center of the sphere, the resulting cross section will be a circle with the same radius as the sphere. If the plane intersects the sphere at other points, the cross section will still be a circle, but its radius will be smaller.
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.
Which type of shape can read represent a two dimensional cross-section of a sphere?
A two-dimensional cross-section of a sphere is represented by a circle. When a plane intersects a sphere, the intersection forms a circular shape, with the size of the circle varying depending on how the plane cuts through the sphere. If the plane passes through the center of the sphere, the resulting circle will have the largest diameter, while other intersections will produce smaller circles.
What is the intersection of the sphere with the yz plane?
The intersection of a sphere with a plane is a point, or a circle.
Will the intersection of a plane and a sphere always be a circle or can it be a point also?
It will be a point if the plane is tangent to the sphere.
When a plane intersects a sphere what does the intersection form?
A circle~
What is one possible cross section of a sphere?
One possible cross section of a sphere is a circle. When a plane intersects the sphere, the shape of the intersection can vary depending on the position of the plane. If the plane cuts through the center of the sphere, the resulting cross section will be a circle with the same radius as the sphere. If the plane intersects the sphere at other points, the cross section will still be a circle, but its radius will be smaller.
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.
Which type of shape can read represent a two dimensional cross-section of a sphere?
A two-dimensional cross-section of a sphere is represented by a circle. When a plane intersects a sphere, the intersection forms a circular shape, with the size of the circle varying depending on how the plane cuts through the sphere. If the plane passes through the center of the sphere, the resulting circle will have the largest diameter, while other intersections will produce smaller circles.
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.
What are all the the cross sections of a sphere?
The cross sections of a sphere can be circular or elliptical, depending on how the plane intersects the sphere. When a plane cuts through the center of the sphere, the cross section is a circle with the same radius as the sphere. If the plane intersects the sphere at an angle or does not pass through the center, the cross section will still be a circle, but its radius will be smaller than that of the sphere. Additionally, if the plane is tangent to the sphere, the cross section reduces to a single point.
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.
What is the mathematical definition of great circle?
A great circle is defined as the largest possible circle that can be drawn on a sphere, resulting from the intersection of the sphere with a plane that passes through the sphere's center. It represents the shortest path between two points on the surface of the sphere, making it significant in navigation and geography. Examples of great circles include the equator and the longitudinal lines on a globe.
