The sphere forms a circle in the plane.
There are two bits of sphere which are spherical caps with a circular base.
Not necessarily. A plane dissecting a sphere would create a circle in that plane. so in order for the "line" to be both on the plane and the sphere the line would have to be a curve or segment of a circle.
plane perras
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.
great circle
plane shape
The intersection of a sphere with a plane is a point, or a circle.
Not necessarily. A plane dissecting a sphere would create a circle in that plane. so in order for the "line" to be both on the plane and the sphere the line would have to be a curve or segment of a circle.
It will be a point if the plane is tangent to the sphere.
Yes a sphere can be considered to be a curved plane 3 dimensional figure.
To divide a sphere in 8 equal parts in three steps: * Cut a plane through the most circular part of the sphere - this cuts the sphere in half * Cut a plane perpendicular to the first plane with the lengths aligned - this cuts the sphere in four pieces * Cut a plane perpendicular to the first plane at a right angle to the second plane - this cuts the sphere into eight pieces
plane perras
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.
great circle
plane shape
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.
sphere
a circle!