When sphere is cut by a plane?
2. If a sphere is made to cut by a plane which is inclined to V.P when circle is on H.P the section formed will be an ellipse. Explanation: No, when a sphere is cut by a plane, the true shape of the section is always a circle.
What is the plane section of sphere?
circle
The plane section of a sphere is always a circle. The equations of the sphere and the plane taken together represent the plane section. The centre M of the circle is the point of intersection of the plane and line CM which passes through C and is perpendicular to the given plane.
What happens when a plane intersects a sphere?
Sphere-plane intersection When the intersection of a sphere and a plane is not empty or a single point, it is a circle. This proves that all points in the intersection are the same distance from the point E in the plane P, in other words all points in the intersection lie on a circle C with center E.
Will all slices created by a slicing plane that passes through a sphere be the same size?
Will all slices that pass through be the same size? Explain your reasoning. No, different slices can result in circles of different sizes; it will depend on where the slicing plane meets the ball.
When a plane is perpendicular to a reference plane its projection on that plane shows its true shape and size?
11. When a plane is perpendicular to a reference plane, its projection on that plane shows its true shape and size. Explanation: When a plane is perpendicular to a reference plane, its projection on that plane is a straight line.
What is a slice through a sphere called?
In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.
How many planes are in a sphere?
Grade 9. A sphere will have infinite planes of symmetry through the center of the sphere since you can cut it through the center and both parts are equal.
What is a plane section?
Definitions of plane section. (geometry) the area created by a plane cutting through a solid. synonyms: section. types: cross section. a section created by a plane cutting a solid perpendicular to its longest axis.
Is a plane intersects a sphere?
A plane can intersect a sphere at one point in which case it is called a tangent plane. Otherwise if a plane intersects a sphere the “cut” is a circle.
How many great circles can a sphere have?
There are an infinite number of great circles that can be drawn on any perfect sphere. The longitude lines on a globe all form great circles that pass through the same two points (the North Pole and the South Pole). The Equator is another great circle.
When a sphere is cut horizontally a surface is obtained?
R D Sharma – Mathematics 9 When it is cut horizontally passing through its centre, you will see that the cross-section of the ball is a circle because the ball has a spherical shape and has a circumference of 2piR where R is the radius of the ball. The shape of the ball when halved will be a HEMISPHERE.