Latest Elitmus Aptitude Question SOLUTION: has anyone solved problem related to geometry asked on dec 21 which is "the area of rhombus is 400 & its diagnol is 80 its perimeter is equal to perimeter of circle then what is th

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(#M40076302) ELITMUS Numerical Ability question Geometry Keep an EYE

has anyone solved problem related to geometry asked on dec 21 which is "the area of rhombus is 400 & its diagnol is 80 its perimeter is equal to perimeter of circle then what is the area of circle", options are something like 1)6400 2)10000 3)2000 4)65000

Asked In Elitmus k.s.n.kranthi kumar (9 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Pradeep  (9 years ago)

ans is 2067.75 as => area of rhombus is PQ/2 =400 ;;
one diagonal is given =80 ;;
so 80*Q/2=400 ;; Q=800/80=10 ;;
rhombus perimeter = perimeter of circle
4a = 2*pi*r
a= sqrt of(P^2+Q^2) /2 = sqrt of (80^2+10^2)/2 = 40.31
then perimeter of rhombus is 4a => 4*40.31=161.24
161.24=2*pi*r
25.65=r
in this problem asked to find area of circle =>pi*r^2
22/7 *(25.65)^2 = 2067.75

Is this solution Helpfull? Yes (17) | No (2)  

swati priya  (9 years ago)

this is not the correct question
the ques ws given area of rhombus = 2400
and after solving the answer will be 10000/pi

Is this solution Helpfull? Yes (9) | No   

Ramdas Singathiya  (9 years ago)

area of rhombus= (1/2)*d1*d2 ............. d1 and d2 are length of diagonals
d1=80 ; and area =400 so d2=10

now if we draw a diagram using these d1 and d2 we will get the value of side of Rhombus=5*(sqrt 65)

so if circle radius is R then 2*pi*R = 4*5*(sqrt 65)
from above equation R=[ 20*(sqrt 65) ] / [2*pi]
so area of circle=> pi*R*R= 6500/pi

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sneha samanta  (9 years ago)

one diaonal is 80,it will bisect other one at right angle. So by pythagoras we will get half of the second diagonal = 30 and side of rhombus = 50.So the perimeter will be 200.
Now for the circle 2*pi*r= 200.Thus we can get the area. But the answer does not match any of the options

Is this solution Helpfull? Yes (3) | No (1)  

soni kumari  (9 years ago)

none of the option is correct
area of rhombus=product of diagonals/2
d1=80
d2=10
perimeter=4*side

Is this solution Helpfull? Yes (1) | No   

BARUN KUMAR  (9 years ago)

2069.09
(d1*d2)=800 so,d2=10
a=((6400+100)^0.5)
4a=2*3.14*r
so,area=2069.09

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