MathsCBSE Class 10 · Basic · Board exam 2026, set 430/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 17

Set in the CBSE Class 10 board exam of 2026, paper 430/5/1, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQCompetency-basedAreas Related to Circles

The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is

(A) $3 6^{\circ}$
(B) $7 0^{\circ}$
(C) $7 2^{\circ}$
(D) $8 0^{\circ}$

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 pendulum length is the radius.

Hint 2

Use $l = \frac{θ}{360} \times 2 π r$ .

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.

Arc length $= \frac{θ}{36 0 ^{\circ}} \times 2 π r$ : $88 = \frac{θ}{360} \times 2 \times \frac{22}{7} \times 70 = \frac{θ}{360} \times 440$ .
$θ = \frac{88 \times 360}{440} = 7 2^{\circ}$ .
1 mark

Answer: $7 2^{\circ}$ , option (C)

Where the marks are

Applies arc-length formula with r = 70 cm to get $7 2^{\circ}$ (1 mark)

Revise the chapter

Chapter: Areas Related to Circles (notes, formulas, where marks are lost and every past question)

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.

CBSE Class 10 Mathematics Basic 2026: question 17

Hints

Step-by-step solution

Revise the chapter

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