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If a tangent is drawn to a circle from a point outside the circle, what is the r

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

Options:

  1. They are equal
  2. They are perpendicular
  3. They are parallel
  4. They are collinear

Correct Answer: They are perpendicular

Solution: 

The tangent to a circle at any point is perpendicular to the radius drawn to the point of contact.

If a tangent is drawn to a circle from a point outside the circle, what is the r

Practice Questions

Q1
If a tangent is drawn to a circle from a point outside the circle, what is the relationship between the radius and the tangent at the point of contact?
  1. They are equal
  2. They are perpendicular
  3. They are parallel
  4. They are collinear

Questions & Step-by-Step Solutions

If a tangent is drawn to a circle from a point outside the circle, what is the relationship between the radius and the tangent at the point of contact?
  • Step 1: Understand what a circle is. A circle is a round shape where all points are the same distance from the center.
  • Step 2: Identify the point outside the circle from which the tangent is drawn. This point is not on the circle.
  • Step 3: Draw a line from the outside point to the circle. This line will touch the circle at only one point, called the point of contact.
  • Step 4: Draw a radius from the center of the circle to the point of contact. This radius connects the center of the circle to the point where the tangent touches the circle.
  • Step 5: Observe the angle formed between the radius and the tangent line at the point of contact.
  • Step 6: Understand that this angle is a right angle (90 degrees). This means the radius and the tangent line are perpendicular to each other at the point of contact.
  • Tangent and Radius Relationship – The tangent to a circle at any point is perpendicular to the radius drawn to the point of contact.
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