How many different tangents can be drawn on circle?
Hint 1: How many points make up the circumference of a circle?
Hint 2: At any single point on the circle, how many tangent lines can touch that point?
Hint 3: Multiply the number of points by the number of tangents per point to find the total.
Step 1 (Definition of a Tangent): A tangent to a circle is a straight line that touches the circle at exactly one point.
Step 2 (Number of Points on a Circle): A circle is a continuous closed curve containing infinitely many distinct points along its perimeter.
Step 3 (Tangent at Each Point): At every single point on the circumference of a circle, exactly one unique tangent line can be drawn. Since there are infinitely many points, there are infinitely many different tangents that can be drawn on a circle.
Step 4 (Conclusion): The total number of tangents is infinity.
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