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An arc of a circle of radius 10… (Class 10 Maths 2024, Q31)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/5/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Standard 2024: question 31

Set in the CBSE Class 10 board exam of 2024, paper 30/5/1, section C, question 31, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q31 · 3 marks · Short answerAreas Related to Circles

An arc of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the corresponding major sector. (Use )

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/5/1.

Hints

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

Hint 1

The major sector is what is left of the circle after removing the minor sector.

Hint 2

Minor sector area with θ = 90° (or use θ = 270° directly for the major sector).

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. Area of circle cm²

    1 mark

  2. Area of minor sector (θ = 90°) cm²

    1 mark

  3. Area of major sector cm²

    1 mark

Answer: 235.5 cm²

Where the marks are

  • Area of circle = 314 cm² (1 mark)
  • Area of minor sector = 78.5 cm² (1 mark)
  • Area of major sector = 235.5 cm² (1 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 paper2024 board paper, set 30/5/1 (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.