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# Circle Query watch

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1. An abstract painting is 46cm square and shows 3 circles that touch each other and the sides of the square.
The top 2 circles have the same radius
What is the radius of the 3rd circle.

Diagram attached - if someone could help me, much appreciated
Attached Images

2. (Original post by studienka)
...
This may not be the easiest way, but:

Draw the triangle connecting the centres, and bisect it "vertically".

Now consider the distance between "the line connecting the two identical circles and the bottom of the square.

You can work out what its actual value is.

You can also work out what it is using pythagoras on the half triangle and adding a bit.

This will give you an equation involving the radius of the 3rd circle which you can solve.

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Updated: February 6, 2010
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