Latest Maths Aptitude Question SOLUTION: The circle O having a diameter of 2 cm, has a square inscribed in it, each side of the square is then taken as a diameter to form four smaller circles O', FInd the total are of fou

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(#M40033415) MATHS Numerical Ability question area Keep an EYE

The circle O having a diameter of 2 cm, has a square inscribed in it, each side of the square is then taken as a diameter to form four smaller circles O', FInd the total are of four circles O' which are outside the circle

Asked In Maths mayank (10 years ago)

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Vivek Jain  (10 years ago)

ans: 2

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 subtracted 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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