Latest Book Aptitude Question SOLUTION: A hexagon of side 1 is taken. it is circumscribed by a circle. the circle in turn is circumscribed by another hexagon. this process is repeated till there are 5 hexagons. what is t

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(#M40155374) BOOK Numerical Ability question Geometry Keep an EYE

A hexagon of side 1 is taken. it is circumscribed by a circle. the circle in turn is circumscribed by another hexagon. this process is repeated till there are 5 hexagons. what is the side of the largest hexagon?

Asked In Book Richa Pandey (8 years ago)

Solved shanti bhushan Read Solution (1)

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shanti bhushan  (8 years ago) Best Solution

Ans=16/9.
Solution:::::


Side of hexagon =1;
This hexagon sides generate 6 triangle with side 1 at the centre of hexagon ;
Now the radius of outer circle becomes 1;
Therefore if we draw another triangle , its side=2/√3 from the formula a=(√3/2)*h where 'a' is side of triangle and 'h' is height;
Now if we doing the same process....
Third triangle a=4/√3
Fourth triangle a=8/3√3
5 th triangle a=16/9;

Draw a figure And observe carefully;

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