MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 24

From the official CBSE sample question paper for 2026-27, section B, question 24, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24 · 2 marks · Very short answerAreas Related to Circles

Find the area of a sector of a circle with diameter 28 cm, if the length of the corresponding arc is 22 cm.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

The question gives the diameter, so first find the radius.

Hint 2

The area of a sector can be written directly with arc length: $A = \frac{1}{2} \times arc length \times radius$ .

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.

Radius $r = \frac{28}{2} = 14$ cm.
½ mark
Area of a sector in terms of its arc length $l$ : $A = \frac{1}{2} \times l \times r = \frac{1}{2} \times 22 \times 14$ .
1 mark
$A = 154 cm^{2}$ .
½ mark

Answer: 154 cm²

Where the marks are

Finds radius = 14 cm (½ mark)
Uses $A = \frac{1}{2} l r$ with correct values (1 mark)
Gets area $= 154 cm^{2}$ (½ mark)

Revise the chapter

Chapter: Areas Related to Circles (notes, formulas, where marks are lost and every past question)
Topic: Area of a Sector of a Circle

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 paperSample paper 2026-27 (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 sample paper 2026-27: question 24

Hints

Step-by-step solution

Revise the chapter

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