Practice Angle Subtended by an Arc of a Circle - 9.4 | 9. Circles | CBSE 9 Mathematics
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9.4 - Angle Subtended by an Arc of a Circle

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If chord AB = chord CD in a circle, what can you say about arcs AB and CD?

💡 Hint: Think about the relationship between equal chords and their corresponding arcs.

Question 2

Easy

What is the measure of an angle subtended by the chord at a point on the circle if it is 30 degrees at the center?

💡 Hint: Remember that the angle at the center is double the angle at the circumference.

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 true about chords that subtend equal angles at the center of a circle?

  • They are of different lengths
  • They are equal
  • They are both diameters

💡 Hint: Consider the relationship between the arc and chord lengths.

Question 2

True or False: The angle at the center is always greater than the angle at any point on the circumference.

  • True
  • False

💡 Hint: Reflect on the theorems we discussed related to arcs.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Two points A and B are on the circumference, and they subtend an angle of 100° at point C, which is on the circle. If point D is the center of the circle, what angle does ∠ ADB equal?

💡 Hint: Use the relationship established by Theorem 9.7.

Question 2

Prove that if two angles subtend equal arcs in the same circle, the segments formed by those arcs must also equal in size.

💡 Hint: Think about inscribed and central angles together.

Challenge and get performance evaluation