A regular hexagon is a polygon with six equal sides and angles.

The triangles formed by joining the center with all the vertices, are equal in size and are equilateral.

Angles of the Hexagon

The sum of interior angles of a hexagon = (6 − 2) · 180° = 720°

The value of an interior angle of the regular hexagon is 720º/6 = 120º

The central angle of the regular hexagon measures: 360º : 6 = 60º

Diagonals of the Hexagon

The number of diagonals = 6 · (6 − 3) : 2 = 9

Apothem of a Regular Hexagon

By applying the Pythagorean theorem for one of the triangles, we obtain:

Perimeter of a Regular Hexagon

Perimeter = 6 · l

Area of a Regular Hexagon

Calculate the apothem, perimeter and area of a regular hexagon inscribed in a circle with a radius of 4 cm.

P = 6 · 4 = 24 cm

The area of a square is 2,304 cm². Calculate the area of a regular hexagon that has the same perimeter as this square.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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