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Will the intersection of a plane and a sphere always be a circle or can it be a point also?
Wiki User
∙ 12y ago
It will be a point if the plane is tangent to the sphere.
Wiki User
∙ 12y ago
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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.
What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane?
6 maximum points of intersection
What is produced by the intersection of a cone with a plane that is parallel to the base of the cone?
It is a circle - or at its extreme, a point.
How do you find equidistant points on a globe?
In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
What plane shape can you make by tracing a sphere?
Technically you can not trace a sphere. If the base conditions are the same as for the other solid shapes, for example a cylinder, there is a base on which the cylinder rests, which creates the circle when it is traced. A sphere on a base would be touching in one point, which would be a dot. If you trace half a sphere, yes, than you do get a circle.
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.
Intersection of sphere and plane that contains center of a sphere?
great circle
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.
When a plane intersects a sphere what does the intersection form?
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 a great circle in spherical geometry?
The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
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.
Are lines on a sphere in the same plane?
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.
How do you find the radius if the great circle is 706.5?
The great circle is simply the intersection of a sphere with a plane through its centre. It is, therefore, equivalent to the circumference.Then r = C/(2*pi) = 112.4 units.
What happens when you slice a sphere with a plane?
The sphere forms a circle in the plane. There are two bits of sphere which are spherical caps with a circular base.
What plane shape can you get by tracing a sphere?
a circle!
