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`(a^(2))/(3)` `(a^(2))/(4)` `(a^(2))/(6)` `(a^(2))/(8)`

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C**Curve --a plane figure formed by joining a number of points without lifting a pencil from the paper and without retracing any portion of the drawing other than single points is called a curve.**

**Open curve is a curve which does not cut itself is called an open curve .**

**Closed curves a curve which cuts itself is called a closed curve.**

**Simple closed curve a closed curve is called a simple closed curve if it does not pass through one point more than once.**

**Position of a point with respect to a curve.**

**Polygons a polygon is a closed curve (figure)formed by the line segments such that : (i)no two line segments intersect except at their end -points.(ii)no two line segments with a common end points are coincident.**

**Polygons are classified according to the number of sides.**

**Adjacent sides any two sides with a common endpoint(vertex)are called the adjacent sides of the polygon.**

**Adjacent vertices the end-points of the same side of a polygon are known as the adjacent vertices.**

**DIAGONALS The line segments obtained by joining vertices which are are not adjacents are called the diagonals of the polygon.**