Latest Elitmus Aptitude Question SOLUTION: Find the area of circle circumscribed about a square each side of which is 10 cm

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(#M40037702) ELITMUS Numerical Ability question mensuration Keep an EYE

Find the area of circle circumscribed about a square each side of which is 10 cm

Asked In Elitmus VANI SETHI (9 years ago)

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Karanam Anoop  (9 years ago)

Ans is 157.
a circumcircle is the circle which touches all the vertices of a square.
So diagnol = Sqrt(200) = 10 root 2.
so area of circle = 3.14*50=157

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Arnab Dutta  (9 years ago)

radius of it is=diameter of circle/2=5√ 2
so area is π*50

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RAHUL KUMAR  (9 years ago)

ANS=50pi

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Ranjeet  (9 years ago)

diagonal=sqrt((10*10)+(10*10))=10 root 2
so,radius of cirle=5 root 2
area=3.14*((5 root 2)*(5 root 2))=3.14*50=157

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sarath  (9 years ago)

area of square=100;
diametre of circle is=10;radius=5;
area of circle=3.15*25=78.75 so, 100-78.7=22.3

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Liti  (9 years ago)

2* pi* 5^5= pi*50

as sides of sqr is 10, radius will be 5

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Pratap K Desai  (9 years ago)

ans is 25pi

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megha singh  (9 years ago)

area of square=10*10=100
diameter of circle =10

radius=5
area=pi*R*r=3.14*5*5=78.5
so the difference is
100-78.5=22.5

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spurthi  (7 years ago)

Note : Diagonal of a sq is always =root 2*S ,where S=side ..
ie
diagonal= √2 times the length of the side

And root 2*s is also the value of the diameter,

therefore Radius = root 2*s/2 ..ie root 2*10/2

Area of the circle =pi r sq ie pi *(root 2*10/2 )sq = 50pi

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