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MathsCBSE Class 10 · Basic · Sample paper, session 2023-24 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic sample paper 2023-24: question 25(b)

From the official CBSE sample question paper for 2023-24, section B, question 25(b), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q25(b) · 2 marks · Very short answerAreas Related to Circles

A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of minor segment. (Use )

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

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

Hint 1

Minor segment = sector − triangle formed by the two radii and the chord.

Hint 2

The triangle is right-angled at the centre, so its area is .

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. Here cm and .
    Area of minor segment = Area of sector − Area of right triangle

    ½ mark
  2. ½ mark
  3. ½ mark
  4. Area of minor segment

    ½ mark

Answer: 28.5 cm²

Where the marks are

  • Writes segment area = sector area − triangle area (1/2 mark)
  • Correct substitution (1/2 mark)
  • Sector area 78.5 cm² and triangle area 50 cm² (1/2 mark)
  • Final answer 28.5 cm² (1/2 mark)

Revise the chapter

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.