Given:
In a quarter circle of radius R, a circle of radius r is inscribed.
Concept Used:
The inscribed circle will be tangent to both the horizontal and vertical sides of the quarter circle, as well as to the arc of the quarter circle.
The center of the quarter circle is at the origin (0,0), and its radius is R.
Solution:
Therefore, the correct option is (a) (√2+1) : 1.
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