The cross sections of a sphere can vary depending on the plane intersecting it. The most common cross sections include circles of varying diameters, which can range from a point (when the plane touches the sphere at a single point) to a maximum circle (when the plane passes through the center of the sphere). Other possible cross sections include ellipses if the plane is inclined but does not pass through the center, and in some cases, a line segment or point depending on the angle and position of the intersecting plane.
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.
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When a sphere is cut into cross sections, the shape formed is a circle. This is because all cross sections of a sphere will be circular in shape, regardless of the angle or position of the cut.
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.
A circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
All cross sections of a square pyramid that are parallel to the base are squares
Any way you slice the earth, you get a chunk whose outline is a circle. (or approximately a circle if you look closely the mountains and valleys that the cross section cuts through disturb the circle). a mathematical sphere will give a mathematical circle at all cross sections.
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A trapezium, except that when it goes through the apex, it becomes a triangle. If the pyramid is a right pyramid, then the cross sections will be isosceles.
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They all have cross sections that remain constant when intersected by a plane perpendicular to their lengths.