Latest Elitmus Aptitude Question SOLUTION: The area of the circumscribing three circles of unit radius toching each other is: A. (Π/3)(2 + √3)2 B. 6Π(2 + √3)2 C. 3Π(2 + √3)2 D. (Π/6)(2 + √3)2

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(#M40037975) ELITMUS Category question Keep an EYE

The area of the circumscribing three circles of unit radius toching each other is:
A.
(Π/3)(2 + √3)2

B.
6Π(2 + √3)2

C.
3Π(2 + √3)2

D.
(Π/6)(2 + √3)2

Asked In Elitmus Liti (9 years ago)

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Vivek Jain  (9 years ago)

Visualize the diagram, the centers of the three circle will join to form an equilateral triangle with side 2.Also, the center of that equilateral triangle will be the center of the circle circumscribing all the three circles.
Now distance between any unit circle to the centroid of the equilateral triangle formed can be calculated using the median(2:1) property.
The distance comes out to be 2/√3.
adding radius of the unit circle will give the radius of the circumscribing circle ..hence is the area
=>Π (2/√3 + 1)^2
=>(Π/3)(2 + √3)2 answer

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Liti  (9 years ago)

@vivek
the ans will be pi/3(2 + √3)2 or pi/3(2 + √3)^2

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kumar saurav  (9 years ago)

A.(π/3)(2+√3)2

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