Question

how to represent arc in geometry

Answer 1

In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve. A common example in the plane (a two-dimensional manifold), is a segment of a circle called a circular arc. In space, if the arc is part of a great circle (or great ellipse), it is called a great arc.

Every pair of distinct points on a circle determines two arcs. If the two points are not directly opposite each other, one of these arcs, the minor arc, will subtend an angle at the centre of the circle that is less than πradians (180 degrees), and the other arc, the major arc, will subtend an angle greater than π radians.

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Answer 2

Suppose you want to right arc AB
Then .....look at the photo...