Latest Elitmus Aptitude Question SOLUTION: There is a square of side 2 unit. on each and every 4 corner a circle is drawn and in the middle of the square an another fifth circle is drawn which is touching all the other 4 ci

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(#M40040146) ELITMUS Category question Geometry Keep an EYE

There is a square of side 2 unit. on each and every 4 corner a circle is drawn and in the middle of the square an another fifth circle is drawn which is touching all the other 4 circles . The radius of all 5 circles are same.

now how much the inner area is left in the SQUARE which is not covered by the all 5 circle...???


i) 4(1-pi) ii)4-sqrt(2)*pi
iii) 4-pi /sqrt(2) iv)None of the above


very very easy question in geometry section till now :-)

Asked In Elitmus Gautam Raj (9 years ago)

Unsolved Read Solution (8)

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ASHUTOSH KUMAR  (9 years ago)

diagona of square is=sqrt(2)* side
so,2sqrt(2)=4r
then r=1/sqrt(2)
and there are 4 sector of circle at the corner of square and 1 whole circle in the middle of the square.
so area of sector =pi*r*r*angle/360 angle=90
=pi/8
and area of 4 sector=(pi/8)*4=pi/2
and area of circle is=pi/2
so total area=pi
and area of square=4
so left inner area =4-pi
so the ans is (d)

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sumit kumar   (9 years ago)

none of above

Is this solution Helpfull? Yes (5) | No (2)  

Ram  (9 years ago)

ASHUTOSH KUMAR Diagonal is not 4r
it is 4r+2*[(2^1/2)-1]r

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ANANT VIKRAM SINGH  (9 years ago)

4-2pi.........none of the above

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priya ranjan  (9 years ago)

crct ans is 4-2pi

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PM Narendra Modi  (9 years ago)

None of Above

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yogesh ahuja  (9 years ago)

answer is a

Is this solution Helpfull? Yes | No (3)  

NARESH KUMAR  (9 years ago)

Area of square- (Area of 4 quarter circle + 1 circle area)
All circle having same radius.
Given side of square=2, radius of circle=1
So left area which is not covered by 5 circle=2^2-(pi*1^2+pi*1^2)=4-2pi
which is not match with any of the given option so answer will be
iv)None of the above.

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