Q1. [1] § 11.2 Summary
Assertion (A) : If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R) : Circumference $= 2\pi \times$ radius of a circle.
Select the correct answer from the codes (A), (B), (C) and (D) as given below.
- A Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- B Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- C Assertion (A) is true, but Reason (R) is false.
- D Assertion (A) is false, but Reason (R) is true.
Previously asked in CBSE board exam
2024 30/4/1 Q20
Generated by claude-sonnet-4-6 · 2026-06-15 10:37 · grounding rag
Model Answer
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Verification: Circumference $= 2\pi r = 2 \times \dfrac{22}{7} \times 28 = 176$ cm. ✓
Explanation
Check the assertion by substituting r = 28 in the formula given in R: 2 × (22/7) × 28 = 176 cm, which is correct. Since R states the correct formula and directly gives A, option (A) is right. Always verify the numerical assertion quickly before choosing.
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