A circle \( C \) is tangent to the \( x \) and \( y \)-axis in first quadrant at the points \( P...

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A circle \( C \) is tangent to the \( x \) and \( y \)-axis in first quadrant at the points \( P \) and \( Q \) respectively. \( B C \) and \( A D \) are parallel tangents to the circle with slope -1 . If the points \( A \) and \( B \) are on the \( y \)-axis while \( C \) and \( D \) are on \( x \)-axis and area of figure \( A B C D \) is \( 900 \sqrt{2} \) sq. units. The radius of the circle is
(a) \( 5 \sqrt{2} \)
(b) \( 6 \sqrt{2} \)
(c) 30
(d) 15
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