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## Incenter of a Triangle – Definition, Formula and Examples

The incenter of a triangle is a point that represents the intersection of the three bisectors of a triangle. Furthermore, the incenter can also be considered as the center of a circle inscribed in the triangle. We can find the coordinates of the incenter using a...

## Circumcenter of a Triangle – Definition, Formula and Examples

The circumcenter of a triangle is the point where the three perpendicular bisectors of the triangle intersect. The circumcenter can also be defined as the center of the circumscribed circle that passes through the three vertices of the triangle. The location of the...

## Cross-Sections of a Sphere

The cross-sections of a sphere are two-dimensional figures formed by the intersection of a plane with a sphere. Since the sphere has a completely round shape with a constant radius, any plane that intersects a sphere will form a circular cross-section no matter the...

## All the Cross-Sections of a Rectangular Prism

The cross-sections of a rectangular prism are the two-dimensional figures that are obtained when we cut a prism with a plane. The figure formed depends on the orientation of the plane. We can obtain rectangular, triangular, pentagonal, and hexagonal cross-sections....

## All the Cross-Sections of a Cone

Cone cross-sections are obtained when we cut a cone with a plane. We can obtain different cross-sections depending on the orientation of the plane. It is possible to obtain circular, elliptical, parabolic, and hyperbolic cross-sections. Here, we will learn about each...

## All the Cross-Sections of a Cube

The cross-sections of a cube are two-dimensional figures obtained by the intersection of a plane with a cube. Depending on the orientation of the plane, we can obtain square, rectangular, triangular, and hexagonal cross-sections. Here, we will learn about the...