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Mathematics — CBSE Class 10 board question

Q1. [1]
The circumferences of two circles are in the ratio $4 : 5$. What is the ratio of their radii?
  1. A $16 : 25$
  2. B $25 : 16$
  3. C $2 : \sqrt{5}$
  4. D $4 : 5$
Previously asked in CBSE board exam
2023 30/6/1 Q5
Generated by claude-sonnet-4-6 · 2026-06-15 10:38 · grounding rag
Model Answer

Answer: D) 4 : 5

Since circumference $= 2\pi r$, the ratio of circumferences equals the ratio of radii. If $C_1 : C_2 = 4 : 5$, then $r_1 : r_2 = 4 : 5$.

Explanation

Circumference is directly proportional to radius ($C = 2\pi r$), so the ratio of radii is the same as the ratio of circumferences. Examiners expect students to recall this direct relationship instantly. Do not confuse with area (where the ratio would be squared: $16:25$).

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.