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The perimeter of a… (Class 10 Maths Basic 2026, Q14)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 14

Set in the CBSE Class 10 board exam of 2026, paper 430/3/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQAreas Related to Circles

The perimeter of a quadrant of a circle of circumference 22 cm is:

  1. (A)29 cm
  2. (B)22 cm
  3. (C)12·5 cm
  4. (D)5·5 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/3/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

First find the radius from the circumference.

Hint 2

The perimeter of a quadrant is two radii plus one quarter of the circumference.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Circumference: , so , giving cm.

  2. Perimeter of quadrant cm, which is option (C).

    1 mark

Answer: 12.5 cm, option (C)

Where the marks are

  • Finds r = 3.5 cm and adds the two radii to the quarter arc to get 12.5 cm (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Areas Related to Circles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/3/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.