MathDB

2012 PUMaC Geometry A1 / B4

Source:

September 24, 2019

geometry

Problem Statement

Three circles, with radii of

1, 1

, and

2

, are externally tangent to each other. The minimum possible area of a quadrilateral that contains and is tangent to all three circles can be written as

a + b\sqrt{c}

where

c

is not divisible by any perfect square larger than

1

. Find

a + b + c

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