Latest Infosys Aptitude Question SOLUTION: a rabbit is tied to one end of an equilateral triangle of side 5 m with a rope length of 8 m.The rabbit is not allowed to travel inside the triangle then find the maximum area cove

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(#M40154004) INFOSYS Numerical Ability question quant Keep an EYE

a rabbit is tied to one end of an equilateral triangle of side 5 m with a rope length of 8 m.The rabbit is not allowed to travel inside the triangle then find the maximum area covered by the rabbit?
a)(96/9)*pi
b(480/9)*pi
c)(240/9)*pi
d)(100/9)*pi
e)cannot be determind

Asked In Infosys naveen (8 years ago)

Unsolved Read Solution (9)

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Read Solution (9) :

kanmani  (8 years ago)

The rabbit can graze upto 64*pi area if the triangle is not there.but the constraint here is,it should not enter the triangle so it must avoid grazing the sector of the circle which covers the triangular area also.each angle in the equilateral triangle is 60 degrees.so the area of the sector formed by 60 degrees and of radius 8m is (pi*8*8*60)/360

therefore maximum total area covered by the rabbit is given by=area of circle-area of sector
=(pi*8*8)-(pi*8*8*60)/360
=(480/9)*pi

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naveen  (8 years ago)

angle in an equilateral triangle is =60
hence the angle covered by the rabbit is =360-60=300
the are of sector is=(angle/360)*pi*r*r
the are covered by the rabbit is =(300/360)*pi*8*8=(480/9)*pi
hence option (b)

Is this solution Helpfull? Yes (17) | No (1)  

dhananjqy  (6 years ago)

https://youtu.be/pdLMEO14IOc




if u r not able to understand properly u can go yo the youtube link...there it has explained in detail

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VISHAL  (8 years ago)

(pi*8*8*300/360)+(pi*3*3*240/360) gives answer which is not in any option.
so answer is (e)

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ravi shanker  (6 years ago)

the area should be (pi*8*8)*300/360 = 160/3*pi
but here the similar ans is not mentioned so we have to change our ans accodingly
multiplying 3 in both numerator and denominator we get 480/9*pi and that is our ans.................thankx

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Ravi Shankar Singh  (5 years ago)

Find Area of the circle:

Area = πr²

Area = π(8)² = 64π m²


Find area of the equilateral triangle:

Area = √3/4 (sides)²

Area = √3/4 (5)² m²


Find the area that the rabbit can roam:

Area the rabbit can roam = Area of the circle - Area of the triangle

Area = 64π - √3/4 (5)²  = 190.32 m²

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chaitalibanerjee  (8 years ago)

Can anyone plz xpln clearly

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riya  (8 years ago)

how the value of h is 2?can anyone tell clearly...bcz the value of alphabets is from range 0-9 !!!

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Feroz Ahmad  (6 years ago)

Solution of the question = Area of circle of radius 8 - Area of Equilateral triangle of side 5

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