In the xy-plane, point~$ (r, s)$~ lies on a circle with center at the origin.  What is the value of ~$r^{2}+s^{2}$~?

(1) The circle has radius ~$2$~.
(2) The point~$ (\sqrt{2}, -\sqrt{2})$~ lies on the circle.


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

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