askvity

How many vertices does a half circle have?

Published in Geometry 1 min read

A half circle, also known as a semi-circle, has no vertices.

Understanding Vertices

A vertex (plural: vertices) is a point where two or more lines or edges meet. Specifically, it's typically defined as the point where two straight lines intersect.

Why a Half Circle Has No Vertices

A half circle is formed by a curved arc (half of a circle's circumference) and a straight line (the diameter). While the endpoints of the diameter might seem like vertices, they aren't because they are the intersection of a curved line and a straight line, not two straight lines.

Analogy

Think of a corner of a square or rectangle. That point is a vertex because it's where two straight lines (the sides) meet. A half circle doesn't have a point like that.

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