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

6-inch radius

A = sq. in.

Question

Find the area of a regular hexagon with the given measurement.

6-inch radius

A = sq. in.

anonymous · Answer

i want to help you get to the answer on your own, do you know an equation for the area of a regular polygon?

anonymous · Answer

I just started 10.1 and a little lost

anonymous · Answer

ok, so online i found a general equation for regular polygons (which are hexagons, pentagons etc). it is:

$$\frac{ 1 }{ 2 }*n*r^2*\sin (\frac{ 360 }{ n })$$

where r is radius and n is the number of sides you have. 

a hexagon has 6 sides, and you have a 6inch radius. so based on that information the formula is just plug and chug

anonymous · Answer

Okay thank you. I will give it a try

anonymous · Answer

see if you can find the answer and let me know so i can compare it to the answer i got

anonymous · Answer

Okay

anonymous · Answer

Hello????  Still confused

anonymous · Answer

im sorry im sorry, i was working on my own things. go ahead and put that equation you had back up there because i believe it was correct and it can be a good ground work to start from

anonymous · Answer

1/2*n*6^2*sin (360/n)

anonymous · Answer

ok then what

anonymous · Answer

n is the number of sides in the shape, what is n for this problem?

anonymous · Answer

I don't know

anonymous · Answer

there are 6 sides in a hexagon

anonymous · Answer

I know that

anonymous · Answer

right, so help me understand what you dont understand then? because all you have to do is plug 6in for R and 6 into n in the equation and solve it

anonymous · Answer

You are given the Hexgaon below.Given that the radius is 6 inches, find the area of the Hexagon. Explain in detail how you found the area. HINT: Can you find the area of a triangle? How many triangles would there be?


(This is what my extra credit says)

anonymous · Answer

finding the triangles is just another way to do it. and you did not specify that is the method you wanted to use, you only said you needed area so that is what i solved for. but there would be 6 triangles

anonymous · Answer

Okay let me plug in 6 for both R and N

anonymous · Answer

let me know what you get

anonymous · Answer

I got 93.5

anonymous · Answer

that is the same thing i got. so your answer is correct

anonymous · Answer

Okay. Thank you

anonymous · Answer

no problem