Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Circle, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Find the circumference of a circle of radius 21 cm. (Take π = 22/7)
(A) 1386 cm
(B) 66 cm
(C) 132 cm
(D) 146 cm
Q2. The ratio of the circumference of any circle to its diameter is ________.
(A) π
(B) 2
(C) r
(D) 1/2
Q3. Find the area of a circle of radius 35 cm. (Take π = 22/7)
(A) 220 sq cm
(B) 7700 sq cm
(C) 3850 sq cm
(D) 3885 sq cm
Q4. Find the area of a circle of radius 7 cm. (Take π = 22/7)
(A) 44 sq cm
(B) 154 sq cm
(C) 308 sq cm
(D) 161 sq cm
Q5. The radius of a circle is 7 cm. What is its diameter?
(A) 14 cm
(B) 8 cm
(C) 49 cm
(D) 21 cm
Q6. A line segment joining the centre of a circle to any point on it is called the ________.
(A) diameter
(B) chord
(C) radius
(D) secant
Q7. Find the circumference of a circle of radius 7 cm. (Take π = 22/7)
(A) 154 cm
(B) 22 cm
(C) 58 cm
(D) 44 cm
Q8. The longest chord of a circle is its ________.
(A) radius
(B) arc
(C) tangent
(D) diameter
Q9. Half of a circle is called a ________.
(A) semicircle
(B) quadrant
(C) sector
(D) segment of radius
Q10. The radius of a circle is 14 cm. What is its diameter?
(A) 7 cm
(B) 28 cm
(C) 196 cm
(D) 42 cm
Answer Key with Explanations
(C) 132 cm — C = 2πr = 2 × 22/7 × 21 = 132 cm.
(A) π — C/d = π for every circle.
(C) 3850 sq cm — A = πr² = 22/7 × 35² = 3850 sq cm.
(B) 154 sq cm — A = πr² = 22/7 × 7² = 154 sq cm.
(A) 14 cm — Diameter = 2 × radius = 14 cm.
(C) radius — That segment is the radius.
(D) 44 cm — C = 2πr = 2 × 22/7 × 7 = 44 cm.
(D) diameter — The diameter passes through the centre and is the longest chord.
(A) semicircle — A diameter divides a circle into two semicircles.
(B) 28 cm — Diameter = 2 × radius = 28 cm.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
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