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A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze?
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A horse is tired with a rope in the centre of a square field of side 3...
Understanding the Problem
To determine the area of the field where the horse cannot graze, we need to visualize the situation. The horse is tied to a rope at the center of a square field with a side length of 30 m, and the rope is 14 m long.
Dimensions of the Field
- The square field has a side length of 30 m.
- The area of the entire field is 30 m x 30 m = 900 m².
Grazing Area of the Horse
- The horse can graze in a circular area defined by the length of the rope (14 m).
- The area of the grazing circle is calculated using the formula: Area = π * radius², where radius = 14 m.
- Thus, the grazing area = π * (14)² = π * 196 ≈ 615.75 m².
Area Where the Horse Cannot Graze
- To find the area where the horse cannot graze, we subtract the grazing area from the total area of the field.
- Area where the horse cannot graze = Total field area - Grazing area
- Area where the horse cannot graze = 900 m² - 615.75 m² ≈ 284.25 m².
Conclusion
Thus, the area of the field where the horse cannot graze is approximately 284.25 m². This area represents the parts of the field outside the reach of the horse tied to the center with a 14 m rope.
To determine the area of the field where the horse cannot graze, we need to visualize the situation. The horse is tied to a rope at the center of a square field with a side length of 30 m, and the rope is 14 m long.
Dimensions of the Field
- The square field has a side length of 30 m.
- The area of the entire field is 30 m x 30 m = 900 m².
Grazing Area of the Horse
- The horse can graze in a circular area defined by the length of the rope (14 m).
- The area of the grazing circle is calculated using the formula: Area = π * radius², where radius = 14 m.
- Thus, the grazing area = π * (14)² = π * 196 ≈ 615.75 m².
Area Where the Horse Cannot Graze
- To find the area where the horse cannot graze, we subtract the grazing area from the total area of the field.
- Area where the horse cannot graze = Total field area - Grazing area
- Area where the horse cannot graze = 900 m² - 615.75 m² ≈ 284.25 m².
Conclusion
Thus, the area of the field where the horse cannot graze is approximately 284.25 m². This area represents the parts of the field outside the reach of the horse tied to the center with a 14 m rope.
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A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze?
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A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze?.
A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is tired with a rope in the centre of a square field of side 30 m if the length of rope is 14 m find the area of the field where horse cannot graze?.
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