Only one which is a tangent to that circle.
Always one for sure, and never more than one.
The angle between the two tangents is 20 degrees.
100 degrees
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
63o. Join the points where the tangents touch the circle to its centre to form a quadrilateral (two meeting tangents and two radii). These angles are both 90o, summing to 180o. Thus the other two angles - the one at the centre of the circle and the one where the tangents meet - sum to 360o - 180o = 180o (they are supplementary). The centre angle is given as 117o (the minor arc), so the angle where the tangents met is 180o - 117o = 63o.
Two tangents can be drawn from a point outside a circle to the circle. The answer for other curves depends on the curve.
2
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.
No tangent No tangent
Always one for sure, and never more than one.
None can. A tangent is a line that touches a circle at only one point. If it wentthrough a point inside the circle, then it would have to touch the circle at twopoints ... one on the way in and another one on the way out.
The angle between the two tangents is 20 degrees.
It depends on what information you have: radius, diameter, lengths of tangents from a point outside the circle, length of chord and its distance from the centre, etc. Also, the term is circumference, not circumfrence.
100 degrees
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
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.
63o. Join the points where the tangents touch the circle to its centre to form a quadrilateral (two meeting tangents and two radii). These angles are both 90o, summing to 180o. Thus the other two angles - the one at the centre of the circle and the one where the tangents meet - sum to 360o - 180o = 180o (they are supplementary). The centre angle is given as 117o (the minor arc), so the angle where the tangents met is 180o - 117o = 63o.