CBSE Class 10 Mathematics
Question 11 of 35
Areas Related to Circles — Question Ex 12.2 Q8
Back to all questions Ex 12.2 Q8
Question A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see figure). Find:
(i) the area of that part of the field in which the horse can graze.
(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)

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Mathematics | Areas Related to CirclesWeb Content
CBSE Class 10 Areas Related to Circles — Complete Guide
This chapter carries 4-5 marks and involves calculation of sector areas, segment areas, and combination of plane figures.
Quick Revision: Key Formulae
- Sector area: (θ/360) × πr²
- Arc length: (θ/360) × 2πr
- Segment area: Sector area − Triangle area
- Combination figures: Decompose into basic shapes, add/subtract
Most Important Questions
- Find area of sector and corresponding segment
- Shaded region problems (circle in square, etc.)
- Flower petal and design problems
- Combined figure area calculations
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