Point \(S\) is \(10~\text{units}\) from the center of a circle with radius \(7\). Compare the center distance with the radius, classify \(S\) as inside, on, or outside the circle, and state the number of real tangents from \(S\).

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S is inside the circle, so no tangents can be drawn from S.

S is on the circle, so exactly one tangent can be drawn at S.

S is outside the circle, so exactly one tangent can be drawn from S.

S is outside the circle, so two tangents can be drawn from S.

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Curriculum context

Course: Math II
Standard: G-C.4
Category: Geometry
Domain: Circles
Objective: Construct a tangent line from an external point to a circle.
Problem type: Classify a point relative to a circle before constructing tangents