A paper is in the form of a square of side 20 m. Semi-circular are drawn inside the square paper on

sruthi pujari   8 years AGO

20*20 area of square=400
Area of 2 semi circles =2*pi*10^2
Area remaining:(400-100*pi)m^2

Like? Yes (10) | No (4)  

shivani shukla   8 years AGO

let the side of square be a then,
area of square =a^2
as the semi circle are drawn on the square on opposite side the area of semi circle =(pi/2)*r^2
and the diameter of circle is side of a square so the formula becomes (pi/2)*a^2
the both the semi circle are cut the the remaining area is equal to = area of square -2(area of semi circle)
= a^2-(2*(pi/2*a^2))
where a=20 and r=(diameter)/2=20/2=10
=(20)^2-(2*(pi/2*(10)^2))m^2
=(400-100*pi)m^2

Like? Yes (6) | No (3)  

Lakshmi Narayanan.k   8 years AGO

area of square= 400m^2
area of two semicircles= (100pi+100pi)/2
area of remaining portion=400-100pi. (opt 2)

Like? Yes (4) | No (2)  

naveenkumar   8 years AGO

diameter of circle is 20
area of circle is =pi* r^2
sub the area of square
we get remaining area

Like? Yes (2) | No   

ravi   8 years AGO

total area of square =400
radius of each circle is 10
area of both circle is pi*100
free space is = 400-100*pi

Like? Yes (3) | No (1)  

G.S.Kantharao   8 years AGO

Side of a Square = 20m
Area of Square = 400 m^2
Radius of Semi - Circle = 10m
Area of 2 Semi - Circles = 2(pi*r^2)/2 = 100 pi m^2.
Remaining Piece Area = (400 - 100 pi) m^2.
Hence the answer is (400 - 100pi) m^2
The right choice is 2.

Like? Yes (4) | No (2)  

Shweta Mishra   8 years AGO

Since area of the square = 20*20 = 400 m^2
and radius of the semi circular portion = 20/2 = 10 m
so, area of the portions cut off = 2*((Pi*10*10)/2) m^2 = (100*Pi) m^2
and, area of remaining portion = (400-100*Pi) m^2
Hence, correct ans is option 2.

Like? Yes (2) | No (1)  

suba   8 years AGO

area of square - area of semicircles=(20)^2-pi*(10)^2=400-100pi

Like? Yes (1) | No   

Sabarisan   8 years AGO

area of the square=400 m^2
area of two semicircles=100 * pi m^2
so, area of rremaining area= 400-100*pi m^2

Like? Yes (2) | No (1)  

Shubham pandey   8 years AGO

area of square is 400
area of circle is pie/4*400
so, result is = (400-pie *100)m^2

Like? Yes (1) | No   

W J Krishna Teja   8 years AGO

required area= area of square-(area of two semi circles)
radius of semicircle=20/2=10
so required area= s^2-pi*r^2
s=20;r=10
ans=(20^2-pi*10^2) m^2
=(400-100*Pi) m^2

Like? Yes (1) | No   

karthikeyan   8 years AGO

area of aquare = 400
area of 2 semi circles combine can be taken as area of a circle with dia 20 which is equal to (pi*20^2 )/4 . so remaining area = (400- 100*pi)m^2

Like? Yes (2) | No (1)  

khushboo goenka   8 years AGO

area of 2 semicircle= pi*100
area of paper= 20*20=400m^2

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odugu naveen varma   8 years AGO

square has area of 400 sq.m.
then area of two semi circulars having diameter 20m is ((pi/4)*sqr(20)) = 100* pi
then area of square other than semi circles = (400-(100*pi)).

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ALOK RANJAN DAS   8 years AGO

total area of paper = 20*20=400 m^2
area of semi circle= pi*10^2 /2
total area of 2 semi circle= pi*10^2
the remaining area of paper will be (400-100*pi)m^2
hence ans is option 2

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Tanmoy Majumder   8 years AGO

area of the half circle is (pi*10^2)/2.
The area we have to subtract is equal pi*10^2, since there are two half portion.
The remaining area will be (400-pi*100) sq. m

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Vignesh.S   8 years AGO

=areaof square - area of circle ( two semicircle forms 1)

=20^2 - pi*10^2
= 400-100pi (answer)

option (2)

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Madhuri Gupta   8 years AGO

Area of Square = 400 m^2
Total Area of semi-circular on two opposite sides is = Pi * r^2 = Pi*10*10 = Pi*100 m^2
expected area = (400-Pi*100) m^2

Like? Yes | No   

Raju Sampath   8 years AGO

area of total paper is (20 m)^2
two semi-circular portions forms a circle with radius 10 m.
area of circle is pi*r^2=(100*pi) m^2
remaining is equal to difference between area of square and area of circle.

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Ankit Sharma   8 years AGO

remaining area = (area of square- area of 2 semi-circles)
area of square= 20*20=400 m^2
as 2 semi-circles have diameter 20, so radius wil be 10m
hence 2 semi-cirle will make a complete circle of radius 10m
hence,
area of 2 semi_circles=pi*r*r=pi*100=100pi
so remaining area is
= (400-100pi) m^2
i.e option 2

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Rajdip Dey   8 years AGO

area of the square= 20*20 = 400 m^2
area of 2 semi circles= (2*0.5*pi*10*10) m^2
hence, area of remaining part = (400-100*pi) m^2

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Samruddha   8 years AGO

area of square=(side)^2 (20)^2 =400
area of cricle=pir^2 pi(10)^2 = 100*pi
area of remaining part=area of square-area of cricle
(400-100*pi)m^2

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nimisha gupta   8 years AGO

Area of square=20*20
=400
Area of semi circle =(pi*10*10)/2
Area of 2 semi circle =area of circle
=pi*10*10
=100*pi
Area of remaining =area of square-area of 2 semi circle
=400-100*pi

Like? Yes | No   

JENSI KARUNYA.S   8 years AGO

area of the square=20^2=400
side of the square is taken as diameter of semicircles
so r=20/2=10
area of the semicircles=pi*(50+50)=100*pi
the remaining area=400-(pi*100) m^2
option 2) 400-(100*pi) m^2 is the correct answer.

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ARCHANENDRA   8 years AGO

area of square =a^2=20*20=400
area of two semicircle=2(Pi*r^2/2)=pi*(10*10)=100Pi
remaining area=area of square-area of two semicircles
=400-100Pi

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jothi lakshmi   8 years AGO

Area of the square=20*20=400
Area of the circle formed by 2 semi circles in opposite side =Pi*(10)^2
Since diameter=20
Remaining required area =Area of square-Area of circle.
(i.e) Area = (400-100*Pi)m^2

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Chitrala Venkatesh Babu   8 years AGO

two half semi circles make one circle of radius half of side of square .therefore remaining area is
=square area-circle area
=(20)^2-pi*(10)^2
=400-100*pi

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vivek Thakur   8 years AGO

(area of sq.) - (area of circle)
20^2-?(10)^2
=400-100?

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Sruthi S Nair   8 years AGO

area of sqaure 400meter sqr
radius of the semicircle 10 m
area of 2 semicircles =2*(10*10*pi)
remaining area = area of square - area of 2 semicircles
= (400 -100pi) meter sqr

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haritha reddy   8 years AGO

Area of square = 20 * 20 = 400 m^2
two semicircles of same diameter = one complete cycle.
As diameter=20, Radius = 10
Area of circle = (100*pi)m^2
So area of remaining paper
= (400-100*pi)m^2. i.ee option 2

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prashant   8 years AGO

(Area of square - Area of two semi circle of radius of 10 m )=[(20*20)-(10*10*pi)m^2]

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imran khan   8 years AGO

area of square is = a^2=20^2=400
area of circle is = pi r^2 =pi 10×10=100 pi
area of remaining paper is =area of square - area of circle= 400-100*pi =(400-100*pi)m^2
option = 2

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Avinash Singh   8 years AGO

Area of remaining part=area of square- area of circle
= (20*20)-(pi*100)=(400-100*Pi)m^2.

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Anant Mishra   8 years AGO

rem area=area of square -area of circle
=20^2-pi*10*10
=(400-100*pi)m^2

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Indrajit Bhandari   8 years AGO

Total area of the square is = 20m*20m
Now, the semi circle just touch each other as there radius is 10 and drawn in opposite sides of the square as diameter.
So, total area cut off is = pi*10m*10m
= 100*pi*m*m
So the area remain = 400m*m - 100*pi*m*m
= (400 - 100*pi)m^2

Like? Yes (1) | No (2)  

PINTU PRASAD GUPTA   8 years AGO

area remain = area of square - area of circle having diameter 20 m
So , Radius of Circle = 10 m
Remaining area = side*side -PI * r *r =20*20 - pi*10*10
= 400 -100*pi
So option 2 will be answer

Like? Yes | No (1)  

Gayathri Devi G.R   8 years AGO

Area of square=20^2=400m^2
total area of semicircles=2*(pi*(10^2))/2=pi*(10^2)=100*pi
So,remaining area= (400-100*pi)m^2

Like? Yes | No (1)  

Dhaval Vekariya   8 years AGO

area of square=20*20=400
area of circle=pi*10^2=100*pi
remaining area=(400-100*pi) m^2

Like? Yes | No (1)  

shunpriya   8 years AGO

area of square=pi*r^2
area of circle=2*2pi*r^2
so,(400-100*pi)m^2

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shaik jasmin   8 years AGO

Required area = [ (20 * 20) - (pi * (10*10)) ]
=[ 400 - 100 * pi ]m^2

Like? Yes | No (1)  

sani musa tsoho   8 years AGO

Area of Square= L^2 =20^2=400
Area of semi-Circle=Pi*r^2
but diameter =20m
r=d/2=20/2
r=10
Area of semi-circle=Pi*10^2=100*Pi
therefore, the Area of the remaining paper=[ (Area of Square)-(Area of semi-circle)]m^2
= (400-100*Pi)m^2
hence Option No. 2 is correct answer....#@smtsoho

Like? Yes | No (1)  

phanikumar   8 years AGO

required area =((20*20-pi*(10)^2)
that is (400-100*pi)m^2

Like? Yes | No (1)  

Prakash   8 years AGO

area of remaing paper= area of square-2(area of semi circle)
ans=(20^2)+2((pi*10^2)/2)
ans=400-100pi

Like? Yes | No (1)  

GIFTY SHAJU   8 years AGO

area of square - sum of areas of two semicircles with radius as half the side of the square,since each had a diameter equal to one of the sides of the square.
ie, (20^2-pi*10^2)m^2

Like? Yes | No (1)  

ayushi mishra   8 years AGO

area of square = a^2
area of semi circle=pi/2*r^2
the semi circle are drawn on the square and then cuted from the square so,
the remaining area =area of square-(2*(area of semi circle))
=a^2-(2(pi/2*r^2))
where a=20 and r=d/2=20/2=10
=20^2-(2*(pi/2*(10)^2))m^2
=(400-pi*100)m^2

Like? Yes | No (1)  

prakash sharma   8 years AGO

Area remaining=area of square-2*(Area of semi-circle)
=>(20*20-(pi*10^2))m^2
=>(400-100*pi)m^2

Like? Yes | No (2)  

Dinesh kumar sah   8 years AGO

Let the side of square is a m and radius of semi circle is r m.
Simply area of the remaining portion=area of complete square- area of two semi circle
=a^2-2×((pi×r^2)/2)
=20^2-pi×100
=(400-100pi) m^2

Like? Yes | No (2)  

pugazh gandhi   8 years AGO

area of square is 400m^2
area of 2 semicircle = 2[pi*100/2]
=pi*100
remaining area = [400-pi*100]m^2
therefore correct opt is 2

Like? Yes | No (2)