The Area of Hexagon Formula refers to the region enclosed by its six sides. A hexagon is a polygon characterized by six angles and six sides. The term "hexagon" originates from the Greek words 'Hexa,' signifying 'six,' and 'gonía,' signifying 'corner.' In this lesson, we will delve into the concept of hexagonal area, explore the formula for calculating the area of a hexagon, and demonstrate how to determine the area for both regular and irregular hexagons.
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Area of a Hexagon with Apothem The formula for this scenario is: Area of hexagon = (1/2) × apothem × Perimeter of hexagon, or, Area of hexagon = (1/2) × a × P = (1/2) × a × 6 × s = 3as, Here's the breakdown: 'a' represents the length of the apothem. 'P' is the perimeter of the hexagon. 's' stands for the length of the hexagon's side. Let's illustrate this with an example.Also Check - Absolute Value Formula
Example: Determine the area of a hexagon with an apothem measuring 12 units and a side length of 8√3 units. Solution: To find the hexagon's area, you can utilize the formula: Area of hexagon = (1/2) × apothem × Perimeter of hexagon. Given that the apothem is 12 units and the perimeter of the hexagon is 6 × 8√3 units = 48√3 units, you can substitute these values into the formula: Area of hexagon = (1/2) × 12 × 48√3 = 288√3 = 498.8 square units.