Question

Need help for a medal!
http://gyazo.com/552e6c1e1e00451addcfb7a3e4d4e145

Answer 1

nvm

Answer 2

xD. Idk how to even really start the equation.

Answer 3

xD

Answer 4

@One098

Answer 5

I know that it must be C or D, but after figuring that out, I'm clueless

Answer 6

xD, well thank you either way :).

Answer 7

Can you tell me how you narrowed it down?

Answer 8

mhmm

Answer 9

It can't be the first one, because the total length is 22, so the radius can't be 23.2 if there is only 22 inches of chain.

Answer 10

Then, for the larger circle, on the chain it says 14 inches, since that one is larger, then the smaller circle can't be equal to that for the second option.

Answer 11

Ah, I see. Well thank you :)

Answer 12

No problem :)

Answer 13

if you join the center of the larger gear to tangent point of the smaller gear. You get a Right Angled Triangle with side b = 20 & radius = 14

a^2 + b^2 = c^2
so h = sqrt(14^2 + 20^2) = 24.4

so the other right angled triangle with radius of the smaller gear as one side is:

so we have a^2 + b^2 = c^2 again, where b is unknown radius
(20)^2 + b^2 = (24.4)^2
b= 13.9

so the answer is 14 inches (option b)

Answer 14

How can the radius of a small circle be equal to the radius of a large circle?

Answer 15

maybe because the line connecting the centers of both gears is 22 in (longer than 20 in). the drawing isn't to scale clearly lol. but mathematically, this is the right answer.

Answer 16

Oh, alright. Thank you very much @rimshaa

Answer 17

there's no other way i can think of, using geometry

Answer 18

hmmm interesting, I knew the drawing wasn't to scale :)