Hello, this is my first post on the xkcd boards

My problem is such (not so much homework but just something I am reading into)

I need to find the length of "x" (in terms of r).

The way I am approaching it is to use the right angled triangle in figure 2.

I can use this and say that

(r+x)^2 = r^2 + r^2

(r+x)^2 = 2r^2

(r+x) = sqrt(2)r

x = r(sqrt(2) - 1)

Is there any obvious error here? Thank you in advance. I have a complete problem and my answer isn't very.. elegant. Want to make sure the basics are fine.

## Circles and squares

**Moderators:** gmalivuk, Moderators General, Prelates

### Re: Circles and squares

Your answer is correct.

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