if the length of a diagonal of a square is 18, what is the diameter of the circle inscribed in the square?

Question

zepdrix · Answer

|dw:1450048308505:dw|

anonymous · Answer

OMG WHY DID I EVEN ASK THAT

zepdrix · Answer

Notice something interesting,
the diameter is actually the same length as the `side length` of the square!

zepdrix · Answer

oh you figure it out? XD

anonymous · Answer

YES! You are amazing. Thank you so much. May you help me with another problem? It's simple too.

zepdrix · Answer

sure

zepdrix · Answer

What did you get for the square problem?
It was something like 9sqrt(2) right?

anonymous · Answer

Ohh, I'm supposed to put it into radical form? I thought the answer was simply "18". IDK

zepdrix · Answer

No, that's not the diameter, see how it extends outside of the circle :o

zepdrix · Answer

|dw:1450048669738:dw|This middle line could be our diameter.
And notice that it's the same length as the side of the square.