My Learning Cart
?
Categories
Account

If a tangent and a chord intersect at a point on the circle, what is the relatio

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If a tangent and a chord intersect at a point on the circle, what is the relationship between the angle formed and the angle subtended by the chord at the center?

Options:

  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are unrelated

Correct Answer: They are equal

Solution: 

The angle formed between the tangent and the chord is equal to the angle subtended by the chord at the center of the circle.

If a tangent and a chord intersect at a point on the circle, what is the relatio

Practice Questions

Q1
If a tangent and a chord intersect at a point on the circle, what is the relationship between the angle formed and the angle subtended by the chord at the center?
  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are unrelated

Questions & Step-by-Step Solutions

If a tangent and a chord intersect at a point on the circle, what is the relationship between the angle formed and the angle subtended by the chord at the center?
  • Step 1: Understand that a tangent is a line that touches the circle at exactly one point.
  • Step 2: Recognize that a chord is a line segment whose endpoints lie on the circle.
  • Step 3: Identify the point where the tangent and the chord intersect on the circle.
  • Step 4: Note that the angle formed between the tangent and the chord at the point of intersection is called the 'angle of intersection.'
  • Step 5: Understand that the chord subtends an angle at the center of the circle, which is called the 'central angle.'
  • Step 6: The relationship states that the angle of intersection (between the tangent and the chord) is equal to the central angle subtended by the chord.
  • Tangent-Chord Angle Theorem – The angle formed between a tangent and a chord through the point of contact is equal to the angle subtended by the chord at the center of the circle.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks