Thread: Got spare brain cells to burn? Try this...

1. Got spare brain cells to burn? Try this...

OK, yet another geometry question. This one, frankly speaking, I don't know the answer also.

Here it goes:

Draw a circle with diameter AB.
On the diameter, mark a point C.
Draw a smaller circle within the big circle with diameter AC.
On the right of the small circle, draw a square such that the the centre of the square falls on the diameter AB of the big circle, the left edge is tangential to the small circle, and the 2 corners on the right falls on the circumference of the big circle.

Question: what should the ratio AC:AB be such that the area of the small circle equals the area of the square?

Please refer to the diagram below:

Enjoy!

- Roy

2. The answer i obtain is 0.50243

3. Originally Posted by Yildun
The answer i obtain is 0.50243
I think you are right. Well done!

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