Question

Please help! Regular hexagon ABCDEF is inscribed in a circle with a radius of 2 units.
Find measure of central angle AGF
apothem a=GH
side length s=
perimeter P=
hexagon area A=

Answer 1

Okay, so first we find measuer of central angle AGF. First consider that a full rotation is 360 degrees, right?

Answer 2

Yes

Answer 3

So all of those angles are going to be equal right?

Answer 4

I think so

Answer 5

Since it's a regular hexagon they should all be equal. If you want we can go through and look at why

Answer 6

Thats ok, I understand

Answer 7

so how do i find AGF?

Answer 8

Alright. So can you tell me what any one of those angles is going to be, knowing they're all equal?

Answer 9

And that a full rotation is 360 degrees

Answer 10

Just by looking at it? no...

Answer 11

Okay. Let's look at some simpler examples

Answer 12

If I tell you that this angle is 60 degrees, and that both of the angles inside of it are equal, can you figure out what their measure is?

Answer 13

30 degrees

Answer 14

That's right.

Answer 15

Now If I say that this angle is, say, 100degrees, and that all the angles are equal, can you figure out their measure?