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Chord AB of a circle… (Class 10 Maths Basic 2026, Q31)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/5/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2026: question 31

Set in the CBSE Class 10 board exam of 2026, paper 430/5/1, section C, question 31, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q31 · 3 marks · Short answerAreas Related to Circles

Chord AB of a circle subtends an angle of at the centre O of the circle. Find the length of arc AB, if radius of the circle is 21 cm.

Figure in the paper: A circle with centre O. Chord AB is drawn with A and B on the circle; O is joined to A and to B, and the angle AOB at the centre is marked 120°. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/5/1.

Hints

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

Hint 1

The arc is a fraction of the full circumference.

Hint 2

Use circumference with cm and .

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. Length of arc

    2 marks

  2. cm

    1 mark

Answer: Length of arc AB = 44 cm

Where the marks are

  • Correct formula with substitution (2 marks)
  • Arc length = 44 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 430/5/1 (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.