ABC is a right-angled triangle with ∠ABC = 90°. The centre of the incircle of the given triangle is at O, whose radius is 2 cm. Two more circles with centres at O1O_1 and O2O_2, touch this circle and the two sides as shown in the figure given below.
Further, MA : MC = 2 : 3.

What is the radius of the circle with centre at O1 ?

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