Latest Elitmus Aptitude Question SOLUTION: The circle o having a diameter of 2 cm,has a square inscribed on it,each square is then taken a diameter to form 4 smaller 0' circles,find the area of all four circle o' outside t

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(#M40152575) ELITMUS question geometry Keep an EYE

The circle o having a diameter of 2 cm,has a square inscribed on it,each square is then taken a diameter to form 4 smaller 0' circles,find the area of all four circle o' outside the cicle

Asked In Elitmus abhisek (8 years ago)

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Ankesh Verma  (8 years ago)

area of cirle O=pi*(1)^2 = pi

Nw the diameter of circle is also the diagonal of the square.
Hence each side of square will be sqrt(2).

=>Area of square=2

since each side of square is also the diameter of other 4 circles.
Hence summation of area of 4 circles=2*pi...........(1)

If u hav drwan its fig u'll find that to obtain the required ans u hav to subtract the area of 4 semi-circles formed on the side of the square from the each of the small portion outside the square.
To get that area of small portion =area of circle O-area of square =pi-2.......(2)

this small portion has to be substracted from the four semi-circles.
Hence, area of 4 semi-circles=2*pi/2= pi......[from (1)]
required ans=total area of 4 semi-circles - area of small portion(from (2))
=pi-(pi-2)
=2.

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ashwini kumar  (8 years ago)

Ans is: 2.........
...

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DEEPAK RAJ  (8 years ago)

Please explain how answer would be 2 cm^2.

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kundan prasad  (8 years ago)

Ans:2

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