# 7 Sided Polygon

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A geometric figure which is formed by 7 straight lines by joining together but the lines should not cross each other, each of two lines meet at a point and form a vertex. So 7 sided polygon has 7 sides and 7 vertices 7 sided polygon is known as heptagon.

Types of polygon: -

· Equilateral polygon is the geometric shapes which consists of all the same sides. For example rhombus is an equilateral polygon because all sides of rhombus are equal.

·  Equiangular polygon is the figure when all angles are same. For example rectangle is an equiangular polygon because all angles of rectangle are equal to 90 degrees.

· Regular polygon are those figures whose all sides and angles are equal like equilateral triangle and square are the examples of regular polygon.

Formula of regular polygon

·         Sum of interior angle= 180 x (n – 2)

·         Each interior angle = 180 x (n – 2) / n

·         Sum of exterior angle = 360 degrees

·         Each exterior angle =360 / n

·         Number of diagonal = n x (n -3) / 2

·         Number of triangles = (n – 2)

Where n= length of each side of a regular polygon.

Question: - Find the single exterior angle of a 7 sided polygon.

Solution: -
Each exterior angel =360 / n

= 360 / 7

= 51.43 degrees (approximately).

Question 2: - Find the number of diagonals of 7 sided polygon.

Solution: -
Number of diagonal = n x (n -3) / 2

= 7 x (7 – 3) / 2

= 7x4/2

= 7x2

= 14

There are 14 diagonals in a 7 sided polygon.