Class 9 Mathematics — Chapter 9: Circles
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 9 (Circles). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.
Sample questions
The longest chord of a circle is called:
The diameter passes through the centre and is the longest chord of a circle. Its length is twice the radius.
A chord is 8 cm long and its perpendicular distance from the centre of a circle is 3 cm. The radius of the circle is:
Perpendicular from centre bisects the chord, so half-chord = 4 cm. By Pythagoras: r = √(4² + 3²) = √(16 + 9) = √25 = 5 cm.
O is the centre of a circle and AB is a chord. If ∠AOB = 100°, find ∠OAB.
OA = OB (radii), so △OAB is isosceles. ∠OAB = ∠OBA = (180° − 100°)/2 = 80°/2 = 40°. Wait — that gives 40°. Re-checking: ∠AOB = 100°, base angles = (180−100)/2 = 40°. The answer is 40°, so correctOptionId should be 'a' = 40°.
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