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Hexagon Calculator

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The hexagon calculator finds side, area, perimeter, radius, diagonal and diameter of a regular hexagon. The calculator explains step-by-step how to find the unknown element.

Hexagon Calculator
Input a known element and select a value to find.
help ↓↓ examples ↓↓
Solve for
Provide one element of a regular hexagon.
a =
 
A =
P =
 
 
 
 
d =
 
s =
R =
 
r =
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Hexagon formulas
Hexagon illustration showing sides, diagonals, area and radius.
$$ A = \frac{3 a^2 \sqrt{3}}{2} $$
area
$$ P = 6a $$
perimeter
$$ r = \frac{a\sqrt{3}}{2} $$
incircle radius
$$ R = a $$
circumcircle radius
$$ s = a\sqrt{3} $$
short diagonal
$$ d = 2a $$
long diagonal
Examples
ex 1:
What is the area of a regular hexagon if the perimeter is 90 cm?
ex 2:
Find the area of a hexagon if the long diagonal is 12/5 cm.
ex 3:
What is the side of a hexagon with a area of 50 cm2?
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