Question

how many times bigger is the radius of the larger circles compared with the small one?
( see attachment in a sec. )

Answer 1

THIS IS DIFFICULT TO DRAW ON OPENSTUDY

Answer 2

i have it though i think

Answer 3

r = R/4

Answer 4

let A, B, C be left, right, middle circle centres respectively

now draw on AB, AC, BC

let M be midpoint of AB, where circles tough
draw on MC, perpendicular to AB

MC = R-r , AB = 2R , AC = R+r

pythag gets us my answer, of course i havent proven that MC is perpendicular to AB or anything, i have to go now :/

Answer 5

touch*

Answer 6

challenging ... :)

Answer 7

solution :

Answer 8

Keeper ...

Answer 9

Sangaku style problem