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In a circle, if a radius is drawn to a point where a tangent touches the circle,

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Question: In a circle, if a radius is drawn to a point where a tangent touches the circle, what is the angle between the radius and the tangent?

Options:

  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 180 degrees

Correct Answer: 90 degrees

Solution: 

The radius drawn to the point of tangency is perpendicular to the tangent, forming a 90-degree angle.

In a circle, if a radius is drawn to a point where a tangent touches the circle,

Practice Questions

Q1
In a circle, if a radius is drawn to a point where a tangent touches the circle, what is the angle between the radius and the tangent?
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a circle, if a radius is drawn to a point where a tangent touches the circle, what is the angle between the radius and the tangent?
  • Circle Geometry – Understanding the relationship between tangents and radii in a circle.
  • Angles in Geometry – Knowledge of how angles are formed between lines, specifically the right angle formed by a radius and a tangent.
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