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Area of a regular hexagon formed inside a regular hexagon

ÀÛ¼ºÀÚ Uploader : jubjup ÀÛ¼ºÀÏ Upload Date: 2023-05-12º¯°æÀÏ Update Date: 2023-05-12Á¶È¸¼ö View : 103

Find the area Ai of the inner regular hexagon formed by connecting the diagonals of a regular hexagon with area A.

If a is the length of one side of the outer regular hexagon and b is the length of one side of the inner regular hexagon,

b = (sqr(3)/3)a

Since the area is proportional to the square of the length ratio,

b^2 = (1/3)a^2

and, Ai is

Ai = A/3

*** Âü°í¹®Çå[References] ***

Ai = A/3
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