Question

If each side of a regular hexagon is 14cm then find the area of regular hexagon.​

Answer 1

Given,

Length of each side of a regular hexagon ( a) = 14 cm

We are asked to find area of the regular hexagon

We know that

Area of a regular hexagon = 6 × √3 a² / 4 sq.units

[ Where, 'a' is length of each side of a regular hexagon ]

= 6 × √3 × 14² / 4

= 6 × √3 × 14 × 14 / 4

= 6 × √3 × 7 × 7

= 49 × 6 × √3

= 294 × √3

= 294 × 1.732

[ Since the approximate value of √3 is 1.732 ]

≈ 509.2 cm²

Therefore the area of the regular hexagon is 509.2 cm².

$\rule{200}1.5$

Additional information:

Properties of a regular hexagon:

• Length of each side in a regular hexagon is equal.

• A regular hexagon has 6 equal sides and 6 equal angles.

• A regular hexagon has 9 diagonals.

• Sum of interior angles of a regular hexagon is 720°

• Each interior angle of a regular hexagon measures 120°

• Each exterior angle of a regular hexagon measures 60°

• A regular hexagon can be divided into 6 equilateral triangles having equal sides.

Answer 2

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