A wire of length 42 cm. is turned to form a 1) square 2) circle Find out the ratio of side of t

Raisul Alam   11 years AGO

The length of the wire is 42 cm. So after turning into square let the length of the each side of the circle is a cm. Now 4a=42 and a=42/4. So the length of the each side of the square is 42/4 cm.
But when it turned into circle its circumference will be 42 cm.
Let radius of the circle is r cm
Hence 2*pie*r=42 so r=42/(2*3.14), given pie=3.14
So the ratio of side of the square and radius of the circle is---
42/4 : 42/(2*3.14) which is 1.57 and option 8 is the answer.

Like? Yes (13) | No (2)  

arijit sarkar   11 years AGO

if 42cm wire turns into square then side of the square is 42/4

if 42 cm long wire turns into circle then
2piR=42
R=42/2pi

so ratio of (42/4)/(42/2pi)= 1.57

Like? Yes (7) | No (1)  

Rats   11 years AGO

let side of square=a
and radius of circle=r
4a=42
a=42/4.....(1)
2(pi)r=42
r=42/2(pi)....(2)
ratio=a/r
=(42/4)/(42/2(pi)) (From 1 & 2)
=2(pi)/4
=pi/2
=3.14/2
=1.57........Ans

Like? Yes (5) | No (2)  

Rahul Gupta   11 years AGO

for Square 4*a = 42=>a=42/4
for Circle 2*pi*r=42=>r=21/pi
Ratio:
a/r=42*pi/21*4=1.57
8)1.57 Right Answer

Like? Yes (3) | No   

ramneet kaur   11 years AGO

side of square= 4a
so a=42/4 = 10.5
and perimeter of circle = 2*pi*r
so r = 42/(2*3.14) = 6.6818
so ratio of side of square / radius of circle = 10.5 / 6.6818 = 1.57
so ans is 1.57 i.e. option 8

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Ashfaque Hussain   11 years AGO

Side of Square = 42/4 = 10.5
Radius of Circle = 42/2*3.14 = 6.68

Ratio = 10.5/6.68 = 1.57

Like? Yes (4) | No (2)  

Prakash kumar   11 years AGO

length of 1 side of square =42/4
radius=42/2*pi
ratio= (42/4)/(42/2*3.14)
= 1.57

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Lavankumar Reddy   11 years AGO

Circumference of square is 4s=42
then side s=42/4=10.5
Circle circumference is 2Ï€r=42
then radius r=42/2Ï€=21/3.14= 6.68789
then ratio is 10.5/6.68789 = 1.57

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SHAIK SADDAM HUSSAIN   11 years AGO

(42/4)/(42/6.28)

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ArunKumar   11 years AGO

Wire length = 42
Then side of sqare = 42/4 = 10.5
Cicum of circle = 2* pi * r = 42
2 * 3.14 * r =42
r =6.68
Ratio = 10.5 / 6.68
= 1.57

Like? Yes (2) | No   

praneeth   11 years AGO

when the wire is turned to form a circle and square,then length becomes circumference.
now,2*pie*r=42;r=6.68
4*s=42;s=10.5
ratio of side of the square and radius of the circle is 10.5/6.68=1.57

Like? Yes (2) | No   

Jasmine Khan   11 years AGO

perimeter of square=4*side
42=4*side
side=42/4=10.5......(1)
perimeter of circle=2*pi*r
42=2*3.14*r
r=21/3.14=6.69........(2)
now from (1) and (2)
side/r=10.5/6.69=1.57

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Janshi   11 years AGO

side of square=42/4=10.5
circumference of circle,2*pi*r=42
r=6.687
ratio=10.5:6.687
=1.57

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VIKASH KUMAR SHARMA   11 years AGO

perimeter of square = perimeter of circle = 42 cm
th4 side of the square = 42/4 = 10.5
rad of circle = 42/2*pi =42/6.28
th4 the ratio will be (10.5)/(42/6.28)
= 1.57 ans

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Ranjit Somisetty   11 years AGO

a/r=1.57

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vikash kumar   11 years AGO

42/4=10.5
r=42/2*3.14

10.5/21*3.14=1.57

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Shrikant kumar   11 years AGO

side length of sq = 42/4
rad = 42/2*3.14
ratio= 1.57

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hitesh kumar gupta   11 years AGO

length of wire = 42 cm
for square
circumference of square = 4*a = 42
a = 42/4
for circle
circumference = 2 *pi*r = 42
r = 42/(2*pi)
now a/r = pi/2 = 1.57

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Mahesh   11 years AGO

The perimeter of the square is 42, hence the side of the square is 42/4 = 21/2

The circumferenceof the circle i.e., 2 PI r = 42, hence r = 42 /2 * 3.14

The required ratio is 21/2 : 21/3.14
= 3.14:2 = 1.57:1

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KD   11 years AGO

Case 1:When It is turned to Square
42 cm is the perimeter of the square.
so,4a=42
a=42/4

Case 2: Now when its turned into a Circle
Circumference is 42 cm
so 2*pi*r=42
or, r=42/(2*pi)

So the ratio =(42/4)/(42/(2*pi))=1.57 is the ans.

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Rahul Goyal   11 years AGO

Square -- 42/4 = 10.5
Circle -- 147/22 radius
Ratio. -- 10.5/(147/22) = 1.57

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prasanjit sarkar   11 years AGO

sides of square=42/4=10.5
circumference of circle=2*3.14*r
=> r=42/2*3.14
=> r=6.687
so ratio will be 10.5/6.687=1.5702

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PINKY   11 years AGO

side=42/4
radius=42/2*3.14
ratio=1.57

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Jyothi   11 years AGO

a=42/4=10.5
r=40/(2*3.14)=6.688
ratio=10.5/6.688=1.57

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PUNEESH AGRAWAL   11 years AGO

the perimeter of square and the circumference of the circle will be equal to 42, hence the side of the square and radius of the circle can be calculated using 4l and 2*pie*R formulae. and hence ratio can be calculated and the answer would come out to be 1.57.

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kakali sarkar   11 years AGO

the side of the square will be =42/4=10.5
for circle 2*3.14*r=42 so r=6.687
the ratio will be (10.5/6.687)=1.57

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Lavan   11 years AGO

Circumference of square is 4s=42
then side s=42/4=10.5
Circle circumference is 2Ï€r=42
then radius r=42/2Ï€=21/3.14= 6.68789
then ratio is 10.5/6.68789 = 1.57

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palagatisriharshithareddy   11 years AGO

perimeter of the square is=4a
42=4a
a=10.5
circumference of the circle=2(pi)r
42 = 2(pi)r
r=21/pi
ratio=10.5(3.14)/21=1.57

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Nitin rahtor   11 years AGO

besause parameter of square 4*side=42 then side=10.5
and circle parameter 2*3.14*r=42 then r=6.6878
then side/radius=1.57

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Grishma Shah   11 years AGO

Side of square is
4a=42
A=10.5
Radius of circle is
2pi*r=42
R=6.678

Ratio=10.5/6.678=1.57

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Devendra Marghade   11 years AGO

side of the square=42/4=10.5
radius of the circle=42/2*3.14=6.687
ratio of side of the square and radius of the circle=10.5/6.687= 1.57

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sreetej   11 years AGO

side of a square a = 42/4;as 42 is the perimeter of the square.
and perimeter of a circle is 2(3.14)r=42
so ratio of a/r=1.57

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b.s.venkatesh   11 years AGO

4a=42 so a 10.5
2*22.7*r=42 so a 6.681
therefore 10.5/6.681
=1.57

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batsal   11 years AGO

for square 4*side of square=42, side of square is 10.5
for circle, 2*pie*r=42, r=6.68
ratio is 10.5/6.68=1.57

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Saket chhitij   11 years AGO

side of square=42/4
and radius of circle=42/2 pi

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mohini gupta   11 years AGO

side of square=42/4=10.5
2*pi*r=42;r=6.68
10.5/6.68=1.57

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Saurabh Keshri   11 years AGO

side of square=42/4=10.5

2*3.14*r=42
r=21/3.14
=6.6879
ratio= 10.5/6.6879

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manish agrawal   11 years AGO

side of square= 42/4= 10.5
radius of cicle
2*pi*r=42, r=6.7
10.5/6.7=1.57

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Aakash Kumar   11 years AGO

10.5/6.69

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Praveen   11 years AGO

side = 42/4
radius= 42/6.28
ratio=6.28:4
==>1.57

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Hemavathi N   11 years AGO

when a wire is turned into square,
length of each side of a square=10.5 cm
length of wire is 42 cm,
hence circumference of circle=42 cm
2(pie)r=42
r=6.6879
therefore,ratio of side of square and radius of circle=10.5/6.6879
=1.57

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Yapadinne Raju   11 years AGO

A wire of length =42 cm
it is turned to square then side of square a=42/4
=10.5
and turned to circle then circumference=42
2*3.14*r=42
r=6.6879
then ratio=10.5/6.6879=1.57

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udit singh   11 years AGO

side of square=42/4=10.5
radius=
2*3.14*r=42
r=6.68
ratio=10.5/6.68=1.57

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amit bhagat   11 years AGO

bcoz
4*side=42
2*3.148*r=42

on dividing we get 1.57

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ankit mudgil   11 years AGO

for circle 2*PIE*r=42, r=6.69



for square 4*a=42, a=10.5



a/r = 1.57

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Suraj Singh   11 years AGO

2*pi*r/4*d=1

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khushboo singh   11 years AGO

(42/4)/(42/2*3.14)

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gowri yendapalii   11 years AGO

the total wire length is 42 is converted into sqr i.e)total the perimeter of the sqr is 4a=42,a=side
a=42/4=21/2;
later the wire is converted into circle so the perimeter of the corcle is 2*pi*r=42;
r=21*7/22;
now the ratio is a\r=(21/7)/(21*3.14)=1.57;

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SHIVANI PRAKASH   11 years AGO

s/r=(42/4)/(42/2*3.14)
=1.57

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a.k.gayathridevi   11 years AGO

side of square s=42/4=10.5
circumference=2*pi*r=42
r=42/(2*3.14)=6.69
s/r=10.5/6.69=1.57

Like? Yes (1) | No