Construction of a Circumcircle for a Regular Hexagon
A regular hex...
Question
A regular hexagon has a side 6 cm. Its area is:
A
27√3cm2
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B
10√2cm2
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C
9√2cm2
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D
54√3cm2
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Solution
The correct option is D54√3cm2 Side = 6 cm ABCDEF is a regular hexagon. Join diagonals AD, BE and CF. The three diagonal divides the hexagonal in six congruent equilateral triangle with side 6cm. Using Heron's formula area of triangle is given by Area of one such triangle. =√s(s−a)(s−b)(s−c) =√9(9−6)(9−6)(9−6)=√9×3×3×3 =9√3 ∴Area of the regular hexagon = 6 ×Area of equilateral triangle OAB