Exploring the Fascinating Properties and Formulas of Heptagon – A 7-sided Polygon

heptagon

a polygon with seven sides and seven angles

A heptagon is a polygon that has 7 sides and 7 angles. The word heptagon is derived from the Greek words hepta, meaning seven and gonia, meaning corner or angle.

Properties of a regular heptagon:
– All seven sides are of equal length
– All seven angles are of equal measure (128.57 degrees)
– The sum of the interior angles is equal to 900 degrees (5 times 180 degrees)
– The sum of the exterior angles is equal to 360 degrees (7 times 360/7 degrees)

There is no general formula for finding the area of an irregular heptagon. However, the area of a regular heptagon with side length s can be calculated using the formula:

Area = (7/4) x s^2 x cot(pi/7)

Overall, the heptagon is an interesting and unique polygon due to its irregularity and relatively rare appearance in geometric forms.

More Answers: