MathsCBSE Class 10 · Standard · Board exam 2026, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 13

Set in the CBSE Class 10 board exam of 2026, paper 30/5/1, 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

An arc of length $2.2$ cm subtends an angle $θ$ at the centre of the circle with radius $2.8$ cm. The value of $θ$ is

(A) $5 0^{\circ}$
(B) $6 0^{\circ}$
(C) $4 5^{\circ}$
(D) $3 0^{\circ}$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/5/1.

Hints

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

Hint 1

Arc length $= \frac{θ}{360} \times 2 π r$ .

Hint 2

Circumference here is 17.6 cm.

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.

$l = \frac{θ}{36 0 ^{\circ}} \times 2 π r \Rightarrow 2.2 = \frac{θ}{360} \times 2 \times \frac{22}{7} \times 2.8 = \frac{θ}{360} \times 17.6$ .
$θ = \frac{2.2 \times 360}{17.6} = 4 5^{\circ}$ , option (C).
1 mark

Answer: $4 5^{\circ}$ , option (C)

Where the marks are

Uses arc length formula to get $4 5^{\circ}$ (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 30/5/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2026: question 13

Hints

Step-by-step solution

Revise the chapter

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