question_answer

In the figure given below, OQRP is a quarter circle of radius 2 cm and another circle inscribed in it is touching this quarter circle at three points R, S and T. The radius of the inscribed circle (in cm) is ________.

A)  \[2\,\,\left( \sqrt{2}-1 \right)\]

B)  \[2\,\left( \sqrt{2}+1 \right)\]

C)  \[\sqrt{2}-1\]                

D)  \[\left( \sqrt{2}+1 \right)\]

E)  None of these