Radius of a circle touching a rectangle both of which are inside a square
Clash Royale CLAN TAG #URR8PPP up vote 17 down vote favorite 2 Given this configuration : We're given that the rectangle is of the dimensions 20 cm by 10 cm, and we have to find the radius of the circle. If we somehow know the distance between the circle and the corner of the square then we can easily find the radius. (It's equal to $ sqrt2times R-R$) I really can't understand how to solve it. Any help appreciated. geometry circle rectangles share | cite | improve this question asked Sep 13 at 18:19 Mooncrater 291 1 12 1 This is fascinating, provided it is written correctly. At first it seems there is not enough information, but at the moment, I feel confident that there is. I will mess around with this. – The Count Sep 13 at 18:29 2 The information you have is $R(1-cosalpha) = 2a$ and $R(1-sinalpha) = a$, where $a = 10$. From there it follows that $R^2 = (R-2a)^2+(R-a)^2$. – amsmath Sep 13 at 18:29