Latest MBA Aptitude Question SOLUTION: The circle o having a diameter 2 cm,has a square inscribed in it.Each side of the square is then taken as a diameter to form 4 smaller circles O".Find the total area of all four O"

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(#M40016626) MBA question algebra, quadratic equations, inequalities, functions Keep an EYE

The circle o having a diameter 2 cm,has a square inscribed in it.Each side of the square is then taken as a diameter to form 4 smaller circles O".Find the total area of all four O" cicles which is outside the circle :I dnt knw ans...Plz provide solutions..

1) 2
2) pi-2
3) 2-pi/4
4) 2-pi/2

Asked In MBA (11 years ago)

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ajay mathela  (11 years ago)

1) 2
Well area of cirle O=pi.(Plzz dnt ask How!!!)

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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