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Mathematics — CBSE Class 10 board question

Q1. [1]
The length of the arc of the sector of a circle with radius 21 cm and of central angle $60°$, is :
  1. (a) 22 cm
  2. (b) 44 cm
  3. (c) 88 cm
  4. (d) 11 cm
Previously asked in CBSE board exam
2026 30/1/1 Q14
Generated by claude-sonnet-4-6 · 2026-06-15 10:37 · grounding rag
Model Answer

(a) 22 cm

Length of arc $= \dfrac{\theta}{360} \times 2\pi r = \dfrac{60}{360} \times 2 \times \dfrac{22}{7} \times 21 = \dfrac{1}{6} \times 132 = 22$ cm.

Explanation

Use the formula: Length of arc $= \dfrac{\theta}{360} \times 2\pi r$. With $r = 21$ cm, $\theta = 60°$, and $\pi = \dfrac{22}{7}$, the calculation simplifies cleanly to 22 cm. Examiners award the mark for selecting (a) with or without the working shown, but showing one-line working is good practice.

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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.