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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 Fig. 11.8). Find the area the horse can graze.

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Class 10 NCERT Solution ( Maths)

Question Summary:

Class 10 NCERT Solution ( Maths)

Given :

1. A horse is tied at one corner of a square-shaped grass field.

2. The side of the square field is 15 meters.

3. The rope is 5 meters long.

4. You are asked to find the area the horse can graze.

💡 Key Idea:

Class 10 NCERT Solution

Step-by-Step Solution:

1. Radius of the circle = Length of the rope = 5 meters

2. Area of a full circle = π × r² = π × 5² = 25π

3.But the horse can only graze in 1/4th of the circle, so:

Grazing Area= 1/4 × Ï€ × 5 = 1/4 × Ï€ × 25

4. Now calculate:

Grazing Area = 25Ï€/4 ≈ 25×3.14/4 = 78.5/4 = 19.625 m2

✅ Final Answer:
The area the horse can graze is approximately 19.63 square meters.

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