Christmas Streak 25/88: Three Lines + One Circle (2)

Geometry Level 3

Image not drawn to scale. Image not drawn to scale.

Tom has drawn three lines and one circle as shown on the right, such that the two green lines intersect perpendicularly and one of them meets with the circle tangentially .

Find the radius of the blue circle to four decimal places.


This problem is a part of <Christmas Streak 2017> series .


The answer is 3.5000.

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