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Area Calculation of a Regular Hexagon with Apothem and Angle Determination

In this guide, we will calculate the area of a regular hexagon with a given apothem of 1.5√3 mm. We'll use the formula for the area of a polygon, where Area = ½ × Perimeter × Apothem. The perimeter of the hexagon is calculated to be 18 mm. Additionally, we will find the missing angles of the hexagon, determining that Angle 1 is 72°, Angle 2 is 36°, and Angle 3 is 54°. This provides a comprehensive understanding of the properties and measurements of regular polygons.

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Area Calculation of a Regular Hexagon with Apothem and Angle Determination

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  1. Area of Regular Polygons

  2. Find the area of the regular hexagon 60 30 3mm apothem = 1.5√3 Area = ½ 18 x 1.5√3 perimeter = 18

  3. Find the missing angles Angle 1 = 360/5 = 72 3 Angle 2 = 72/2 = 36 Angle 3 = 54

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