Latest TCS Aptitude Question SOLUTION: Three unit circles are enclosed in a large circle such that they touches each other. Find the area of larger circle.(use π=3.14)

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Three unit circles are enclosed in a large circle such that they touches each other. Find the area of larger circle.(use π=3.14)

Asked In TCS kundan roy (9 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

RAKESH  (9 years ago)

centres of 3 circles form eq triangle of side 2
join centre of big circle to any other centre & draw perpendicular

cos 30 = 1 / x => x = 2/ root(3) where, x = distance b/n centres of smaller & bigger circle.

R = (1 + 2/root3) = 2.15

Area of larger circle = 3.14 * (2.15)^2 = 14.57 sq unit

Is this solution Helpfull? Yes (23) | No (1)  

deepanshu kotwani  (9 years ago)

By joining centers of 3 unit circles we will get an equilateral triangle of length 2 unit. We have to find the length of the orange line.
And center of the equilateral triangle will be the center of the big circle.
So radius of the big circle will be = (1 + Circum radius of the equilateral triagle)
Circum radius of equilateral triangle = 23×3√2×2=23√
Area of big circle will be =πr2=3.14×(1+23√)2 = 3.14×(1+43√+43)
=3.14×(1+43√+43) = 3.14×(73+43√)
=3.14×(7+43√3)

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KUMAR SAJJAN  (9 years ago)

ans is 12.56

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shilpi agrawal  (9 years ago)

ans is 28.26

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KUMAR SAJJAN  (9 years ago)

unit circle mean having radius 1 .so 12.56 is right ans. if any1 have another soln then explain othrwise jst folow it.

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Rakesh Kr Singh  (9 years ago)

Since the smaller circle have radius 0ne therefore when we join the center of all three small circle we will get equilateral triangle. now the center of equilateral triangle can be find by using formula

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Ankit Pathak  (9 years ago)

which formula plz explain @ sandeep kumar

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MOUSUMI BAIDYA  (9 years ago)

3 circles are touching together also touch big circle then if the radius of unit circle is r ,then the radius of enclosed circle is 2r .
the area of the enclosed circle is = 3.14*(2r^2)
=3.14*4*r*r
=12.56*r*r

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Rakesh Kr Singh  (9 years ago)

The ans is = 14.57 cm square

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sandeep kumar  (9 years ago)

ans = 9*3.14-3*3.14=6*3.14=18.84

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TORRIKONDA SAMPATH  (9 years ago)

Which is correct answer??

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