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The length of arc… (Class 10 Maths Basic 2025, Q13)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2025: question 13

Set in the CBSE Class 10 board exam of 2025, paper 430/4/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q13 · 1 mark · MCQAreas Related to Circles

The length of arc subtending an angle of at the centre of the circle, is cm. The radius of the circle is:

  1. (A) cm
  2. (B)4 cm
  3. (C)8 cm
  4. (D) cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/4/1.

Hints

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

Hint 1

Arc length .

Hint 2

Substitute θ = 210° and π = 22/7, then solve for r.

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. Arc length , so .

    ½ mark

  2. This simplifies to , so cm. Hence option (B).

    ½ mark

Answer: 4 cm, option (B)

Where the marks are

  • Applies the arc length formula (½ mark)
  • Solves to get r = 4 cm (½ 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 paper2025 board paper, set 430/4/1 (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.