CEMC Fermat, 2001

Geometry Difficulty 2.0 Junior Find the answer Canada

A circle is tangent to the $y$ -axis at $(0, 2)$ , and the larger of its $x$ -intercepts is $8$ . The radius of the circle is

(A) $\frac{9}{2}$ (B) $\sqrt{17}$ (C) $\frac{17}{4}$ (D) $\frac{15}{4}$ (E) $\frac{\sqrt{17}}{2}$

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