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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon?
Solution:
An equilateral triangle is a regular polygon with 3 equal sides with each angle equal to 60°.
We know that, area of regular hexagon = 6 × area of an equilateral triangle.
Area of regular hexagon = 6 × (√3/4) × a2, where a is the side of the equilateral triangle.
Let us assume, a = 8 cm
Area of regular hexagon = 6 × (√3/4) × 82
= 6 × (√3/4) × 64
= (6 × 64 × √3)/4
= (6 × 16 × √3)
= 96√3 square centimeters.
Therefore, the area of the hexagon is 96√3 square centimeters.
Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon?
Summary:
Each side of the regular hexagon measures 8 cm. The area of the hexagon is 96√3 square centimeters.