Understanding Exterior Points in Mathematics | Exploring the Concept and Examples

exterior points

In mathematics, an exterior point is a point that lies outside of a geometric figure or shape

In mathematics, an exterior point is a point that lies outside of a geometric figure or shape. More specifically, it is a point that does not belong to the interior or boundary of the figure. Thus, it can be considered as lying in the “exterior” region or space surrounding the shape.

To understand this concept better, let’s consider a common geometric figure such as a circle. The interior of the circle consists of all the points that lie within its boundaries, while the boundary itself consists of the points that lie on the circle. Any point that lies outside of these boundaries would be considered an exterior point.

For example, if we have a circle with center (0,0) and radius 2, any point outside the circle, such as (3,0), (-2,5), or (0,-2), would be considered an exterior point.

The concept of exterior points can also be applied to other shapes or figures in geometry, such as triangles, squares, or even more complex shapes. In each case, the exterior points are those that lie outside of the shape, surrounding it.

It is worth noting that the notion of exterior points is closely related to the concept of interior points. Interior points are those that lie inside the boundaries of a shape, whereas exterior points lie outside. Together, they make up the entire space surrounding the shape.

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