Question

Help with this Geometry problem?

Answer 1

for the second one is it c?

Answer 2

@phi ?

Answer 3

I don't see a trivial way to do this. But
look at the horizontal diameter of the big circle:
it has segments 8, r, and r which add up to the whole diameter
8+2r= 2R
or
R= r+4

you can replace R-6 and R-r in the little right triangle
can you use the pythagorean thm to solve for r ?

Answer 4

after which R+r = 2r+4

Answer 5

r=5?

Answer 6

yes, but they want r+R

Answer 7

I replace R-6 with r-2
R-r = 4
and solved for r in (r-2)^2 + 4^2 = r^2

Answer 8

R+r=14 so 14

Answer 9

thanks

Answer 10

yw

Answer 11

now the next question is it c?