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.
- ½ mark
Here cm and .
Area of minor segment = Area of sector − Area of right triangle - ½ mark
- ½ mark
- ½ mark
Area of minor segment
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
- Chapter: Areas Related to Circles (notes, formulas, where marks are lost and every past question)
- Topic: Area of a Segment of a Circle
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