Multiple choice

If a circle is inside another circle, then what is the maximum number of tangents from any point on the outer circle to the inner circle?

  1. $0$
  2. $1$
  3. $2$
  4. $3$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From any point on the outer circle, you can draw two tangents to the inner circle, provided the point is outside the inner circle.

AI explanation

The maximum number of tangents from a point to a circle is determined by whether the point is outside, on, or inside the circle. Even though the inner circle is entirely within the outer circle, a general point on the outer circle lies outside the boundary of the inner circle. Therefore, exactly 2 tangents can be drawn from that point to the inner circle.

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