Question

http://prntscr.com/azi3mr

We're supposed to be using this v to solve the above
http://prntscr.com/azi41f
http://prntscr.com/azi48b

All I've figured out so far is the apothem and radius are the same and to find the angle of each triangle we do 360/5. This result we half to make a 45-45-90 triangle. Then, we solve from there.

Though, I'm not sure how to continue.

Answer 1

@xGuardians

Can you help here?

Answer 2

you have 2 pentagons and the apotherm of one = radius of the other and you need to find the ratio of their areas , right?

Answer 3

Yep!

Answer 4

so the one with the apotherm = radius is the larger of the pentagons.

I have to go for 10 minutes but i#ll be back. I will help if no one else comes along.

Answer 5

Alright!

Answer 6

Wouldn't it be 38?

Answer 7

the pentagon on the left has a radius of 1 and on the roght we have a pentagon with apotherm 1 and radius r

cos 36 = 1 / r
r = 1 cos 36 = 1.23607


so tye lengths of corresponding radii are 1.243607 ; 1

Answer 8

Never mind. Calculator error haha.

Answer 9

and the areas are in ratio of the squares of these radii.

Answer 10

Could you label that?
I'm not seeing radius of 1 and apothem of 1 with radius r.

I see it, but it's just a tad bit confusing.