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Any tangent must contain a point outside the circle. So the answer to the question, as stated, is infinitely many.

However, if the question was how many tangents to a circle can be drawn from a point outside the circle, the answer is two.

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Q: How many tangents can be drawn to a circle containing a point outside the circle?
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Related questions

How many tangents can be drawn from a single point?

Two tangents can be drawn from a point outside a circle to the circle. The answer for other curves depends on the curve.


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Ab and ac are tangents to a circle with centre o and radius 5cmif ac equals 12cmfind the perimeter of quadrilateral aboc?

Since AB and AC are tangent to the circle O, it seems that they both are drawn from the same outside point A. As tangents to a circle from an outside point are congruent, AB ≅ BC. Also, a tangent is perpendicular to radius drawn to point of contact. So that OB and OC are congruent radii. Therefore, the perimeter of the quadrilateral ABOC equals to P = 2(12 cm) + 2(5 cm) = 34 cm.


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What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 243 and the minor arc measures 117?

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