Latest Elitmus Aptitude Question SOLUTION: a circle whose area is 2/pie.a rectangle inside the circle.then find the parameter of that rectangle

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(#M40152301) ELITMUS Numerical Ability question NBumber System Keep an EYE

a circle whose area is 2/pie.a rectangle inside the circle.then find the parameter of that rectangle

Asked In Elitmus ayanava (8 years ago)

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akanksha  (8 years ago)

area of circle= 2/pie
pi *r^2=2/pie
r^2=2/(pie)^2
r=root(2)/pie
so diameter= 2* root(2)/pie
if a quadrilateral is circumscribed by a circle then the product of its diagonal is equal to the product of opposite sides of the quadrilateral.That is if ABCD is a quadrilateral then AC*BD=AB*CD=AD*BC
as it is given that rectangle is circumscribed in the circle so AC*BD=AB^2=AD^2
the two diagonal of the rectangle is the diameter of the circle so
(2*root(2)/pi)*(2*root(2)/pi) =AB^2=AD^2
AB=AD=(2*root(2)/pi)
now perimeter=2*((2*root(2)/pi) +(2*root(2)/pi) )
=(8*root(2))/pi

Is this solution Helpfull? Yes (12) | No (8)  

Pankaj Kumar  (8 years ago)

Data insufficient because infinite types of rectangle we can draw in a circle and all having different parameter. SO dear "AKANKSHA" u r nt correct ....

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kundan prasad  (8 years ago)

Ans: 8/pi
rectangle in the circle should be square then
diameter of the circle equal to diagonal of rectangle =2*root(2)/pi
Side of rectangle (L)=2/pi
so therefore parameter of rectangle =4*L
=4*2/pi
=8/pi

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Nilagha Das  (8 years ago)

AC>AB & BD>CD . so how can AC*BD =AB*CD ??

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Ramesh  (8 years ago)

ans is 8/pie
bcz inside a circle any quadrilateral is a square get the diameter, it is diagonal of the square apply pythagoras theorem u'll get the ans...

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smriti kumari  (8 years ago)

inside circle it will be a square.
so area=pie(r)^2=2/pie.
r^2=2/(pie)^2
r=root(2)/pie
so diameter of circle will be diagonal of square=2*root(2)/pie
now by pythagoras theorem
2*root(2)/pie=root(l^2+l^2) supposing side of square be l.
so l=2/pie
now parameter=4*2/pie
8/pie
for better understanding draw diagram

Is this solution Helpfull? Yes (2) | No (4)  

Aditya Rastogi  (8 years ago)

You may be wrong :(

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Digesh Singh Bisht  (1 year ago)

All the solutions are wrong. They just changed the question . How u can say a rectangle will be a square inside a circle. Are u guys crazy ?????

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