Practice Angle Subtended by a Chord at a Point - 9.1 | 9. Circles | CBSE 9 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

9.1 - Angle Subtended by a Chord at a Point

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a chord in a circle.

πŸ’‘ Hint: Think about the parts of a circle and what connects two points.

Question 2

Easy

What is the angle subtended by a chord at the center?

πŸ’‘ Hint: Remember, the center is the focal point of a circle.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the relationship between the lengths of chords and the angles they subtend at the center?

  • Longer chords subtend smaller angles
  • Longer chords subtend larger angles
  • Chords have no effect on angles

πŸ’‘ Hint: Visualize the chord lengths and corresponding angles.

Question 2

True or False: If two chords are equal, then their angles subtended at any point on the circle are equal.

  • True
  • False

πŸ’‘ Hint: Reflect on the concept of symmetry in geometry.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If angle AOB is 70Β° and the length of chord AB is known, find the angle subtended at any point P on the circle in the same segment.

πŸ’‘ Hint: Remember the relationship between angles and arcs!

Question 2

Two equal chords AB and CD intersect at point E within a circle. Prove that AE = CE and BE = DE.

πŸ’‘ Hint: Focus on triangle properties!

Challenge and get performance evaluation