# Four Tangent Circles

Geometry Level 5

$$4$$ circles meet at $$6$$ points, sharing common tangent lines through each point.

The flat areas of the circles are

$$165\pi$$
$$220\pi$$
$$297\pi$$
$$540\pi$$

A sphere passes through all $$4$$ circles, so that the circles are on the surface of the sphere. The surface area of the sphere is

$$A\pi$$

Find integer $$A$$

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