AQA · Mathematics · 8300
GCSE Maths: Pythagoras: area of a regular hexagon
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Pythagoras: area of a regular hexagon (Corbettmaths Video 262), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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In a regular hexagon divided into 6 triangles from its center, what is the side length of each equilateral triangle in terms of the hexagon's side length?
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Each equilateral triangle has a side length equal to the hexagon's side length.
A regular hexagon has side length s. What formula gives its area?
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Area = (3√3/2) × s² or equivalently 6 × (area of one equilateral triangle with side s).
What is the formula for the area of an equilateral triangle with side length s?
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Area = (√3/4) × s²
A regular hexagon has a perimeter of 72 cm. What is its side length?
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12 cm (since a hexagon has 6 equal sides, divide 72 by 6).
In a regular hexagon with center O, what type of triangle is formed by the center and any two adjacent vertices?
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An equilateral triangle.
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