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A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?
- a)201.1 cm2
- b)251.6 cm2
- c)111.2 cm2
- d)245.3 cm2
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A horse is tethered to a peg with a 16 cm long rope at the corner of a...
Solution:
Given:
- Length of the rectangular grass field = 31 cm
- Width of the rectangular grass field = 27 cm
- Length of the rope tethered to the horse = 16 cm
Calculating the Area the Horse can Graze:
- The horse can graze in a circle with a radius equal to the length of the rope.
- The area of the circle the horse can graze = πr^2, where r is the length of the rope.
- Substituting the given value, the area = π*(16/2)^2 = π*8^2 = 64π cm^2.
Calculating the Area of the Field the Horse can Graze:
- The area of the rectangular field = Length * Width = 31 cm * 27 cm = 837 cm^2.
- To find the area the horse can graze within the rectangular field, we need to subtract the area outside the circle from the total area of the rectangle.
- The area outside the circle = Total area of the rectangle - Area of the circle = 837 cm^2 - 64π cm^2 ≈ 201.1 cm^2.
Therefore, the correct answer is option A) 201.1 cm^2.
Given:
- Length of the rectangular grass field = 31 cm
- Width of the rectangular grass field = 27 cm
- Length of the rope tethered to the horse = 16 cm
Calculating the Area the Horse can Graze:
- The horse can graze in a circle with a radius equal to the length of the rope.
- The area of the circle the horse can graze = πr^2, where r is the length of the rope.
- Substituting the given value, the area = π*(16/2)^2 = π*8^2 = 64π cm^2.
Calculating the Area of the Field the Horse can Graze:
- The area of the rectangular field = Length * Width = 31 cm * 27 cm = 837 cm^2.
- To find the area the horse can graze within the rectangular field, we need to subtract the area outside the circle from the total area of the rectangle.
- The area outside the circle = Total area of the rectangle - Area of the circle = 837 cm^2 - 64π cm^2 ≈ 201.1 cm^2.
Therefore, the correct answer is option A) 201.1 cm^2.
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Community Answer
A horse is tethered to a peg with a 16 cm long rope at the corner of a...
Area = [22*16*16/7] / 4
= 5632/7*4 = 201.1 cm2
= 5632/7*4 = 201.1 cm2
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A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?a)201.1 cm2b)251.6 cm2c)111.2 cm2d)245.3 cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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