MathsCBSE Class 10 · Standard · Board exam 2026, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 14

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, 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 length of the arc of the sector of a circle with radius 21 cm and central angle $6 0^{\circ}$ , is :

(A)22 cm
(B)44 cm
(C)88 cm
(D)11 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/1/1.

Hints

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

Hint 1

An arc is a fraction of the full circumference.

Hint 2

The fraction is $\frac{θ}{36 0 ^{\circ}}$ ; multiply it by $2 π r$ .

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 $l = \frac{θ}{36 0 ^{\circ}} \times 2 π r = \frac{60}{360} \times 2 \times \frac{22}{7} \times 21$ .
½ mark
$= \frac{1}{6} \times 132 = 22$ cm. Hence option (A).
½ mark

Answer: 22 cm, option (A)

Where the marks are

Uses $l = \frac{θ}{360} \times 2 π r$ and gets 22 cm, option (A) (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 30/1/1 (Standard): 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 Standard 2026: question 14

Hints

Step-by-step solution

Revise the chapter

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