Boundary Math Example 3

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Example 3

easy
A country is enclosed by a border. Name what the border represents geometrically (boundary, interior, or exterior) for each region: (a) inside the country, (b) the border itself, (c) the neighbouring country.

Solution

  1. 1
    Step 1: (a) Inside the country — this is the interior of the region.
  2. 2
    Step 2: (b) The border — this is the boundary, separating the two countries.
  3. 3
    Step 3: (c) The neighbouring country — this is the exterior of the original region.

Answer

(a) interior, (b) boundary, (c) exterior.
Every geometric region has three parts: the interior (inside), the boundary (edge), and the exterior (outside). This classification applies to all shapes from simple squares to complex country outlines.

About Boundary

The edge or outline that separates the interior of a region from its exterior; the set of points on the dividing border.

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