A circle has one……………… surface and………….. vertex ? How many vertex? and what is the surface name.
The Correct Answer and Explanation is:
A circle has one surface and no vertex.
Explanation:
- Surface of a Circle: The surface of a circle refers to its two-dimensional shape. It is a flat surface that extends infinitely in all directions within the boundary of the circle. The boundary of the circle is known as the circumference. This surface is often described as the area inside the circle, and its properties can be used in geometric calculations (like finding the area using the formula A=πr2A = \pi r^2A=πr2, where rrr is the radius).
- Vertex: In geometry, a vertex refers to a point where two or more lines or edges meet. A circle, being a two-dimensional shape with no sharp corners or edges, does not have any vertex. It is a smooth curve, and every point on its boundary is equidistant from the center. Therefore, unlike polygons (such as triangles, squares, or polygons), circles do not have vertices.
In summary, the circle has one surface (its area) and no vertex, because it does not have any sharp corners or intersecting edges like polygons. The continuous curve of the circle does not form any angular points, hence no vertices exist.
