Four horses are tethered at four corners… | Answer

Subject

Quantitative Aptitude

Topic

Mensuration

Four horses are tethered at four corners of a square plot of side 42 meters so that they just cannot reach one another. The area left ungrazed is
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ক)

375 m2

খ)

379 m2

গ)

376 m2

ঘ)

378 m2

ঙ)

None of these

Explanation

The length of the rope tied to the horses should each be equal to half of the side of the square plot so that they just cannot reach one another. ∵ side of the square = 42 m, Length of the rope = 42/2 = 21 m The area grazed by each horse should be equal to the area of sector with radius 21 m (length of the rope) Total area covered by the four horses = 4 × (area of sector of radius 21 m and central angle 90°) Total area left ungrazed = (Area of square field) – (Total area covered by four horses) ∴Total area left ungrazed

= \;{42^2}\;-\;4\; \times \left( {\frac{{90}}{{360}} \times \;\frac{{22}}{7}\; \times \;21\; \times \;21} \right)

⇒ Total area left ungrazed = 1764 – 1386 = 378 m 2

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Four horses are tethered at four corners of a square plot of side 42 meters so that they just cannot reach one another. The area left ungrazed isReading

Four horses are tethered at four corners of a square plot of side 42 meters so that they just cannot reach one another. The area left ungrazed is

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Four horses are tethered at four corners of a square plot of side 42 meters so that they just cannot reach one another. The area left ungrazed is
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