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In a circle, if a tangent is drawn from a point outside the circle, what is the

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Question: In a circle, if a tangent is drawn from a point outside the circle, what is the relationship between the tangent and the radius at the point of contact?

Options:

  1. They are equal
  2. They are perpendicular
  3. They are parallel
  4. They form an acute angle

Correct Answer: They are perpendicular

Solution: 

A tangent drawn from a point outside the circle is perpendicular to the radius at the point of contact.

In a circle, if a tangent is drawn from a point outside the circle, what is the

Practice Questions

Q1
In a circle, if a tangent is drawn from a point outside the circle, what is the relationship between the tangent and the radius at the point of contact?
  1. They are equal
  2. They are perpendicular
  3. They are parallel
  4. They form an acute angle

Questions & Step-by-Step Solutions

In a circle, if a tangent is drawn from a point outside the circle, what is the relationship between the tangent and the radius at the point of contact?
  • Step 1: Understand what a tangent is. A tangent is a straight line that touches a circle at exactly one point.
  • Step 2: Identify the point where the tangent touches the circle. This point is called the point of contact.
  • Step 3: Know that a radius is a line segment that connects the center of the circle to any point on the circle.
  • Step 4: Draw a radius from the center of the circle to the point of contact where the tangent touches the circle.
  • Step 5: Observe the angle formed between the tangent line and the radius at the point of contact.
  • Step 6: Remember that the relationship between the tangent and the radius at the point of contact is that they meet at a right angle (90 degrees).
  • Step 7: Conclude that the tangent is perpendicular to the radius at the point of contact.
  • Tangent and Radius Relationship – A tangent to a circle at a point is always perpendicular to the radius drawn to that point.
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