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The difference of the… (Class 10 Maths Basic 2024, Q14)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 14

Set in the CBSE Class 10 board exam of 2024, paper 430/2/1, 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 difference of the areas of a minor sector of angle and its corresponding major sector of a circle of radius 21 cm, is

  1. (A)231 cm
  2. (B)462 cm
  3. (C)346.5 cm
  4. (D)693 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/2/1.

Hints

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

Hint 1

Major sector angle is .

Hint 2

Use for each 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. Circle area cm; minor sector ; major .

  2. Difference cm. Option (B).

    1 mark

Answer: 462 cm², option (B)

Where the marks are

  • Finds both sector areas and difference 462 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 430/2/1 (Basic): 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.