# Can you do it without the co-ordinates?

Geometry Level 4

Three circles are tangent to each other:

• the first has center $$(0,0)$$ and radius 4,

• the second has center $$(3,0)$$ and radius 1, and

• the third circle has center $$(-1,0)$$ and radius 3.

Find the radius of a fourth circle tangent to each of these 3 circles to 3 decimal places.

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