Question

area of a regular hexagon with side 4 √3 cm​

Answer 1

Answer:

A≈41.57

Step-by-step explanation:

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Answer 2

Given

Side of regular hexagon=4√3cm

To Find

Area of regular hexagon

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Area of regular hexagon =$\sf \: \dfrac{3 \sqrt{3} }{2} {a}^{2}$

(where a is side of regular hexagon)

$\sf \: Area = \dfrac{3 \sqrt{3} }{ \sqrt{2} } \times {(4 \sqrt{3}) }^{2}$

$\sf \: Area = \dfrac{3 \sqrt{3} }{2} \times 16 \times 3$

$\sf \: Area = \dfrac{3 \sqrt{3} }{ \cancel{{2}}} \times{ \cancel{ 48}}$

$\sf \: Area = 3 \sqrt{3} \times 24 = { \red{72 \sqrt{3}{cm}^{2} }}$

Extra information=>

1. A regular hexagon is a closed shape figure which have 6 sides and angles respectively.
2. In a hexagon the sum of its interior angles is 720°
3. Opposite sides are parallel.