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Hexagon Calculator

Enter side, area or diagonals of a regular hexagon then choose a missing value and the calculator will show you a step by step explanation how to find the value.
show help ↓↓ examples ↓↓
I want to calculate:
Provide any value of a hexagon
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
Side
a =
 
Area
A =
Perimeter
P =
 
 
 
 
Long diagonal
d =
 
Short diagonal
s =
Circumcircle radius
R =
 
Incircle radius
r =
working...
Hexagon formulas
$$ A = \frac{3 a^2 \sqrt{3}}{2} $$
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
example 1:ex 1:
What is the area of a regular hexagon if the perimeter is 90 cm?
example 2:ex 2:
Find the area of a hexagon if the long diagonal is 12/5 cm.
example 3:ex 3:
What is the side of a hexagon with a area of 50 cm2?
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