[Problem of the day][数学挑战][Geometry][几何][2][Big and small circle] Mathematics Geometry

casperyc 2020-5-4 748

There are two identical blue circles and two identical orange circles arranged symmetrically in a larger red circle, as shown. 

The circles are tangent to each other where they touch.

If the radius of the red circle is  $R$ then what is the radius of one of the orange circles?

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