Question

Find the area of each regular polygon with the given radius or apothem.

http://i85.photobucket.com/albums/k62/sbpll2012/73a09f49-d029-47c1-bc4d-d89b0ca4dd8c_zpsaf5ceaa6.png

Answer 1

Just take note that
\[A = a^2 N \tan \frac{ 180 }{ N }\]
where N = number of sides
a = measure of apothem

Answer 2

Now, can you apply the formula?

Answer 3

Would this be the first part? A = 6√3^2

Answer 4

Yeah \[(6\sqrt{3})^2\]
but you also need to put the other variables

Answer 5

what about be N?

Answer 6

N means number of sides.

Answer 7

How many sides it has? @sbpll2014

Answer 8

Oh it has 6. So it would be \[A = (6\sqrt{3})^{^{2}}6 \tan 180\div6\] ?

Answer 9

Right. But let me show you the correct expression
\[A = (6\sqrt{3})^2(6)\tan \frac{ 180 }{ 6 }\]

Answer 10

and if we solve that we would get 162 √ 3 m^2

Answer 11

are you sure of it?

Answer 12

yes...

Answer 13

or 36?

Answer 14

Don't you know how to simplify expressions?

Answer 15

Let me tell you how, then.

Answer 16

(6sqrt(3))^2 is also 36(3) = 108

Answer 17

Therefore, we have now 108(6) tan30

Answer 18

648tan30 is the right answer. But I will be giving the turn to you to simplify this one.

Answer 19

would it be simplified in a square root?

Answer 20

Yup. I want you to give me the answer. :)

Answer 21

216√ 3

Answer 22

Now you got it right

Answer 23

Thank you

Answer 24

Np