SAT Math Practice Question #25130 - SATify | SATify

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SAT Math Practice Question #25130 - SATify | SATify

#25130

geometry

Relative Motion

hard

120 sec

A circle of radius 1 is surrounded by 3 circles of radius $r$ such that each of the 3 circles is tangent to the central circle and to the other two surrounding circles. What is $r$ ?

A.

$2 + 3$

B.

$33$

C.

$3 + 23$

D.

$23$

E.

$3 + 2$