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A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me?
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A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze?
Understanding the Problem:
To solve this problem, we need to determine the area over which the horse can graze when it is tethered to one corner of a rectangular field. The dimensions of the field are given as 40m by 36m, and the horse is tethered to one corner by a 14m long rope.
Approach:
To find the area over which the horse can graze, we can visualize a circular region around the tethering point. The radius of this circular region is the length of the rope, which is 14m. We can calculate the area of this circular region and subtract it from the total area of the rectangular field to find the grazing area.
Calculating the Area:
To calculate the area of the circular region, we use the formula for the area of a circle: A = πr², where A is the area and r is the radius.
1. Calculate the area of the circular region:
- Radius (r) = 14m
- Area of the circular region = π * (14m)²
2. Calculate the total area of the rectangular field:
- Length (L) = 40m
- Width (W) = 36m
- Area of the rectangular field = Length * Width
3. Calculate the grazing area:
- Grazing area = Total area - Area of circular region
Final Answer:
The horse can graze over an area equal to the grazing area calculated in step 3.
Understanding the Problem:
To solve this problem, we need to determine the area over which the horse can graze when it is tethered to one corner of a rectangular field. The dimensions of the field are given as 40m by 36m, and the horse is tethered to one corner by a 14m long rope.
Approach:
To find the area over which the horse can graze, we can visualize a circular region around the tethering point. The radius of this circular region is the length of the rope, which is 14m. We can calculate the area of this circular region and subtract it from the total area of the rectangular field to find the grazing area.
Calculating the Area:
To calculate the area of the circular region, we use the formula for the area of a circle: A = πr², where A is the area and r is the radius.
1. Calculate the area of the circular region:
- Radius (r) = 14m
- Area of the circular region = π * (14m)²
2. Calculate the total area of the rectangular field:
- Length (L) = 40m
- Width (W) = 36m
- Area of the rectangular field = Length * Width
3. Calculate the grazing area:
- Grazing area = Total area - Area of circular region
Final Answer:
The horse can graze over an area equal to the grazing area calculated in step 3.
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A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me?
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A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me?.
A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze? answer me?.
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