Question

What is the area of the regular polygon?

Answer 1

this polygon can be decided into 6 equilateral triangle each with sides 2cm.

area of an equilateral triangle is v

$(\sqrt{3} \div 4) \times a ^{2}$

applying eqn with a = 2

therefore root 3/4*4 = root 3

since there are 6 equilateral triangles

area =

$6 \sqrt{3}$

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Answer 2

To find the the area of regular polygon =(ap)/2 where a is apothem and p is perimeter.To find apothem divide one of the length by 2 times the tangent of 180 degrees divide by the number of sides (n)