Find the area of a regular hexagon with the given measurement.

2 sqrt3 apothem

A =

Question

Find the area of a regular hexagon with the given measurement.

2 sqrt3 apothem

A =

anonymous · Answer

The side of a regular hexagon is$$(2/\sqrt{3})a$$where a is the apothem.

The formula for the area of any regular polygon is$$A=(1/2)nsa$$where n= number of sides (6), s = the length of the sides (see above) and a = the apothem.

So, in your case $$s=(2/\sqrt{3})(2/\sqrt{3})=4/3$$

Plugging everything into the formula above...$$A=(1/2)(6)(4/3)(2/\sqrt{3})=8/\sqrt{3}=(8\sqrt{3})/3$$

I would suggest you memorize the area formula...it will be useful

anonymous · Answer

no but i cant do that like that

anonymous · Answer

can't do like what?

anonymous · Answer

icant caluate it becuase i come out with the bwrong answer

anonymous · Answer

oh...in response to the other post (which was deleted)?  Does mine work for you?