Boundary Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easyDraw a circle. What is the boundary of the circle (the disk region)? What is the interior? Use everyday language.
Solution
- 1 Step 1: The disk is the filled-in circle — all points inside and on the edge.
- 2 Step 2: The boundary is the curved line (the circle itself) — the edge that separates the inside from the outside.
- 3 Step 3: The interior is everything strictly inside the boundary — all points whose distance from the centre is less than the radius.
- 4 Step 4: Points outside the circle are the exterior — not part of the disk.
Answer
Boundary the circle (curved edge); interior all points strictly inside.
The boundary of a region is the set of points that separate the inside from the outside. For a disk, the boundary is the circle. Touching the boundary means you are on the edge — neither fully inside nor outside.
About Boundary
The edge or outline that separates the interior of a region from its exterior; the set of points on the dividing border.
Learn more about Boundary →More Boundary Examples
Example 2 medium
What is the boundary of a square with vertices [formula], [formula], [formula], [formula]? Find the
Example 3 easyA country is enclosed by a border. Name what the border represents geometrically (boundary, interior
Example 4 mediumThe region [formula] is defined by the inequalities [formula], [formula], and [formula]. Describe th