Elitmus
Exam
Numerical Ability
Area and Volume
a circle whose area is 2/pie.a rectangle inside the circle.then find the parameter of that rectangle
Read Solution (Total 8)
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- 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 - 9 years agoHelpfull: Yes(12) No(8)
- 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 ....
- 9 years agoHelpfull: Yes(5) No(0)
- 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 - 9 years agoHelpfull: Yes(3) No(2)
- AC>AB & BD>CD . so how can AC*BD =AB*CD ??
- 9 years agoHelpfull: Yes(2) No(3)
- 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... - 9 years agoHelpfull: Yes(2) No(3)
- 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 - 9 years agoHelpfull: Yes(2) No(4)
- You may be wrong :(
- 9 years agoHelpfull: Yes(1) No(0)
- 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 ?????
- 2 years agoHelpfull: Yes(0) No(0)
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