Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
6-inch radius
A = sq. in.

Question

anonymous · Answer

attachment

anonymous · Answer

The image shows blank blank sgrt(blank).

What do you mean by radius? Of the circumcircle?

anonymous · Answer

Here is better pic

anonymous · Answer

OK, I would still like to know for sure that "radius" means radius of the surrounding circle. Meanwhile I will just assume that is what is meant.

anonymous · Answer

I am not exactly sure :(

anonymous · Answer

there is a formula for the area of a triangle in a circle:-

1/2  D^2 sin a sin b sin c  so in this case, a,b and c are all the same at 60

1/2 12^2 sin^3 60 = 72* (sqrt(3)/2)^3 = 72*3 sqrt 3/8 = 27 sqrt 3

Is that one of your options?

anonymous · Answer

My answer is in that form...

anonymous · Answer

Actually that is correct! :)

Yeah sorry I didnt see that at the end ...
Thanks!

anonymous · Answer

Your welcome; triangles don't actually have a radius, circles do.

Often called the circumradius, which makes it clear.

anonymous · Answer

hi kraken the area A=3(SQRT3)a^2 
A=3(SQRT3)(6)^2=187.06 ans