A polygon which has seven sides are referred to as heptagon. Heptagon is a closed determine which have seven vertices. A heptagon is usually also called Septagon. A Heptagon has seven angles.
In Geometry, the form that’s bounded by minimal three straight traces or minimal three inside angles is named polygon. Few examples of polygons are as follows
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- Triangle ( Is three sided polygon)
- Quadrilateral ( Is 4 sided polygon)
- Pentagon ( Is 5 sided polygon)
- Hexagon ( Is six sided polygon)
- Heptagon ( Is seven sided polygon)
- Octagon ( Is eight sided polygon)
The form of heptagon is mainly depends upon its angles and diagonals. And, therefore heptagon is split into two elements;
- Common and Irregular Heptagon
- Convex and Concave Heptagon
Common and Irregular Heptagon
When all the perimeters and the angles of a heptagon are equal then the heptagon is claimed to be common. All the perimeters of a daily heptagon meets one another at an angle of 5π/7 radians or 128 4/7 levels.
When the perimeters and the angles of a heptagon are usually not equal then the heptagon is claimed to be irregular
Convex and Concave Heptagon
When all of the diagonals of a heptagon lie inside it, then it’s referred to as convex heptagon.
When a number of the diagonals of a heptagon lie exterior of the heptagon and a number of inside angles are greater than 180 levels, then the heptagon is claimed to be concave heptagon.
Space of a Heptagon
For a daily heptagon having the aspect size “l”, then the formulation for the world of a heptagon is:
Space of a heptagon, A=7/4 l2 cot(π/7) Sq. items
Which is equal additionally to
Space of a Heptagon,A = 3.634l2 sq. items
Perimeter of Heptagon
As we all know, all the perimeters “l” of a daily heptagon are of equal. So, the perimeter or circumference of a heptagon is given as,The perimeter of a heptagon,P = 7a items
For instance; calculate the world and perimeter of a daily heptagon having aspect equals to six cm.
The aspect of a heptagon,l = 6 cmAs we all know,
space of a heptagon, A = 3.634l2 sq. unitsPut l = 6 cm
A = 3.634 (6)2A = 3.634 (36)A = 130.824 cm2
As we all know that, perimeter of a heptagon, P = 7l unitsP = 7(6)P = 42 cm
Due to this fact, the perimeter of a heptagon is the same as 42 cm.