Circles
Bihar Board · Class 9 · Mathematics
Most important questions from Circles for Bihar Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
Interactive on Super Tutor
Studying Circles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
1,000+ Class 9 students started this chapter today
Super Tutor has 16+ illustrations like this for Circles alone — flashcards, concept maps, and step-by-step visuals.
See them allSample Questions
Which of the following are properties of equal chords in a circle?
Show answer
They subtend equal angles at the centre, They are equidistant from the centre, They form congruent arcs
Equal chords have multiple properties: they subtend equal angles at the centre (Theorem 9.1), are equidistant from the centre (Theorem 9.5), and form congruent arcs. They don't have different lengths (they're equal) and aren't necessarily parallel.
If the angle subtended by an arc at the centre is 80°, what is the angle subtended by the same arc at any point on the remaining part of the circle?
Show answer
40°
According to Theorem 9.7, the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. So if the central angle is 80°, the inscribed angle is 80°/2 = 40°.
In a cyclic quadrilateral ABCD, if ∠A = 70°, what is ∠C?
Show answer
110°
In a cyclic quadrilateral, opposite angles are supplementary (sum to 180°). Since ∠A = 70°, we have ∠A + ∠C = 180°, so ∠C = 180° - 70° = 110°.
Two chords are equidistant from the centre of a circle. What can we conclude about these chords?
Show answer
They are equal in length
According to Theorem 9.6, chords equidistant from the centre of a circle are equal in length. This is the converse of the theorem that states equal chords are equidistant from the centre.
+39 more questions available
Practice AllFrequently Asked Questions
What are the important topics in Circles for Bihar Board Class 9 Mathematics?
How to score full marks in Circles — Bihar Board Class 9 Mathematics?
How many important questions are there in Circles?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Circles
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Circles chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Bihar Board Class 9 Mathematics.