If an arc forms 72 degree at the centre of the circle, then the ratio of its length to circumference

Kushagra Tiwari   10 years AGO

We know Theta = l/r
Theta/2*pi = l/2*pi*r = l/
Circumference
Theta/2*pi= 72/2*180= 1/5
So ratio is 1:5

Like? Yes (54) | No (8)  

Anurag Dwivedi   10 years AGO

length of arc(l)=angle*radius(r)
l/r= 72
Divide both side by 2*pi
l/(2*pi*r)= 72/360
l/circumfrnce= 1/5

Like? Yes (15) | No (3)  

RAKESH   10 years AGO

simply

72 / 360 = 1:5

Like? Yes (15) | No (10)  

Simranjit Singh   10 years AGO

We know Theta = l/r
Theta/2*pi = l/2*pi*r = l/Circumference
Theta/2*pi= 72/2*180= 1/5
So ratio is 1:5

Like? Yes (4) | No (2)  

maths hater   10 years AGO

72*r/2*180*r=1/5

Like? Yes (3) | No (1)  

AVINASH GAURAV   10 years AGO

len of arc=(72/360)*2*pi*r
circumference =2*pi*r
so,ratio=1:5

Like? Yes (2) | No   

shekhar suman   10 years AGO

we know that arc length,l=r*angle subs-tended at the center
so,l=r*72 or r=l/72;
circumferrence=2*180*r
then ratio of the two=l/2*180*r
=>ratio=72/(2*180)=1/5

Like? Yes (2) | No   

vikas singh   10 years AGO

360/72=5

Like? Yes (2) | No   

vinayak choubey   10 years AGO

length/circumference= (2*pi*R*Central angle/360)/2*pi*R
=72/360=1/5

Like? Yes (2) | No   

PURNIMA GUPTA   10 years AGO

(72/360)*2*pi*r:2*pi*r
=72/360
=1:5

Like? Yes (2) | No   

Rashi Bansal   10 years AGO

circumference = 2 *3.14 * R
length of arc= 72/360 * circumference
so ratio = 1:5

Like? Yes (2) | No   

harika challagolla   10 years AGO

length of arc=2pi(r)72/360
length/2pi(r)=72/360=1:5
ratio of length and circumference=1:5

Like? Yes (2) | No   

pratik   10 years AGO

Angle= arc/radius
72°=arc/radius
72/360=arc/radius
So, arc/radius=1/5

Like? Yes (2) | No   

Kailash Patil   10 years AGO

Length of arc = ( angle made by arc / 360 ) * circumference of the circle

Ratio of arc length to circumference of the circle = ((72/360)*2*3.14*r)/2*3.14*r = 1:5

Like? Yes (2) | No   

Sourojit Dhua   10 years AGO

72/360=1:5
as simple as that.

Like? Yes (2) | No (1)  

BHASKAR MANDAL   10 years AGO

arc length = r*72
circumference of circle = 2*180*r
ratio = 72/2*180 = 1/5
option is 1

Like? Yes (1) | No   

pritika singh   10 years AGO

formula

Like? Yes (2) | No (1)  

prabhat   10 years AGO

ratio=(2*3.14*r*angle/360)/2*3.14*r
+72/360
=1:5

Like? Yes (2) | No (1)  

Aastha   10 years AGO

let radius=r
length of arc=72/360*2* pi* r
circumference=2 *pi*r
ratio=length/circumference
=1/5

Like? Yes (4) | No (3)  

santosh kumar patel   10 years AGO

length of an arc=2*pi*r@ /360 @-theeta
so 2*pi*r*72/360=2*pi*r/5
and circumference of circle=2*pi*r
so ratio=arc:circumference
=2*pi*r/5*2*pi*r=1/5
ans=1:5

Like? Yes (2) | No (1)  

CHANDAN KUMAR   10 years AGO

ANGLE=L/R
l/c=angle*r/2*pi*r=72/360=1/5

Like? Yes (1) | No   

thasleema   10 years AGO

ans is 1st option =1:5
length of the arc: circumference
it means we can get it throuth angles also.

=72:360= 1:5

Like? Yes (1) | No   

pawan kumar   10 years AGO

72 : 360 = 1:5

Like? Yes (1) | No   

Chaudhury Subhakanta Dash   10 years AGO

Because The Total Angle is 360 degree so 72:360 Or 1:5

Like? Yes (1) | No   

ravi prakash   10 years AGO

72/360

Like? Yes (1) | No   

Abhishek Mitra   10 years AGO

if circumference forms 360'. 72' means 1/5 th of the total angle then ratio of the lengths would be 72:360 = 1:5 .

Like? Yes (2) | No (1)  

Kunal Jaiswal   10 years AGO

Option 1. 1:5 will be the right answer.

Like? Yes (1) | No   

Ritika Shrivastava   10 years AGO

Length of arc=2*22/7*r*72/360
Circum=2*22/7*r
Ratio =1:5

Like? Yes (1) | No   

vivek prakash   10 years AGO

360 degree=2*pi*r
72degree=((2*pi*r)*2)/10
so required ratio=(4*pi*r)/(20*pi*r)
so ans is 1:5

Like? Yes (1) | No   

ADARSH GAURAV   10 years AGO

1:5 is the answer

Like? Yes (1) | No   

Kushagra Krishna   10 years AGO

Length of arc= 2*pi*r*angle subtended by arc/360
Circumference= 2*pi*r
Dividing length of arc by circumference,
Ans= angle subtended by arc/360
=72/360
=1/5

Like? Yes (1) | No   

Mohan   10 years AGO

360/72=5
therefore ratio of its length to circumference is 1:5

Like? Yes (1) | No   

MOHIT GARG   10 years AGO

Use x(angle)=L/R
Convert degree into radian ,hence 72° is equivalent to 2*π/5 radians.
L/R= 2*π/5. ----------------------------(1)
We have to find L/2*π*R. ------------(2)
After filling value from equation 1 into 2 we get 1/5.

Like? Yes (1) | No   

ramesh chandi   10 years AGO

arc length l = r* theata(angle)
arc length: circumference
r* 72 : 2 *Pi *r
72:360
1:5

Like? Yes (1) | No   

shubham tyagi   10 years AGO

angle in radian =2pi*l/2pi*r
1.224=2pi*l/2pi*r
l/2pi*r=2/10
1/5

Like? Yes (1) | No   

Gaurav Sharan   10 years AGO

72/360=1/5

Like? Yes (1) | No   

Emanuel Abhishek Murmu   10 years AGO

Area of sector= 72/360*(pi*r^2)----(1)
Area of sector in terms of arc length(A)= (A*r)/2-----(2)

(1)=(2) gives,

A/(2*pi*r)= 1/5

Like? Yes (1) | No   

Peddi rohit   10 years AGO

lenght of arc/circumferenc is angle*(pi/180)*r/2pir
hence we get as angle by2*180 which is 1/5

Like? Yes (1) | No   

Mahesh   10 years AGO

72/360 = 1/5 so the ratio will be 1:5

Like? Yes (1) | No   

sudipta maji   10 years AGO

72/360*cicumference : circumference=1:5

Like? Yes (1) | No   

Sanchit Kapoor   10 years AGO

Length of the arc of the circle, l= r*theta
Since angle in degrees is 72, thus angle in radians = 72 pi/180
So l=72 pi r /180.....(1)
Circumference of the circle is given by 2 pi r/180......(2)
Hence ratio=(1):(2)
1:5
So option 1 is correct

Like? Yes (2) | No (1)  

RISHABH SHARMA   10 years AGO

2*pie*r*72/2*pie*r*360=1/5

Like? Yes (1) | No   

rajeev chaubey   10 years AGO

circumference of circle=2pie*r
length of arc=72*r=pie*72/180
l/c=pie*72/(180*2*pie)=1/5

Like? Yes (1) | No   

UDAY KUMAR BEJJAM   10 years AGO

arc length/radius = 72 * pi/180
so, arc length/(2*pi*radius)=(1/2*pi)*72*(pi/180)
==> 1/5 ==>1:5

Like? Yes (1) | No   

Shreya Tiwari   10 years AGO

We know Theta = l/r
Theta/2*pi = l/2*pi*r = l/
Circumference
Theta/2*pi= 72/2*180= 1/5
So ratio is 1:5

Like? Yes (1) | No   

Abhishek Vishwakarma   10 years AGO

We know Theta = l/r
Theta/2*pi = l/2*pi*r = l/
Circumference
Theta/2*pi= 72/2*180= 1/5
So ratio is 1:5

Like? Yes (1) | No   

prabhav jain   10 years AGO

ratio of 72 degree to the whole ie 360 degree

Like? Yes (1) | No   

Chandra chur anand   10 years AGO

length of arc= 72*(2*pi*r)/360-----eq-1
circumference=2*pi*r------eq-2
hence ratio=divide eq1 by eq2
we get 1/5 ans...

Like? Yes (1) | No   

Bhanu Pratap Singh   10 years AGO

l=r*theta
circumference=2pi*R
now
ratio= R*theta/2pi*R
putting values
get ratio 1:5

Like? Yes (1) | No   

RABI KR. SHAW   10 years AGO

circumference=2*3.14*r
length of arc=(given angle/360)*2*3.14*r
ratio=1:5

Like? Yes (1) | No   

Sravanthi   10 years AGO

Arc of circle=radius*Degree
s=r*72
Circumference=2*pi*r
ratio=72/(2*180)
=1/5

Like? Yes (1) | No   

Rekha goyal   10 years AGO

circumference =360* r
length of arc= 72*r
ratio is 72:360= 1:5

Like? Yes (1) | No   

anuj gupta   10 years AGO

1:5

Like? Yes (1) | No   

ramakrishnateja   10 years AGO

given angle is 72 degree which is 2pi/5.
but the angle =arc length/radius. let the arc length is L.
2pi/5=L/r. circumference of the circle is 2pir. the ratio of l/2pir=1:5

Like? Yes (1) | No   

Namrata Gupta   10 years AGO

72 degree=2pi/5
as we know arc length s= r*theta
s=2pir/5
and the circumference of circle is 2pir
so s:c=1:5

Like? Yes (1) | No   

Ajinkya Kulkarni   10 years AGO

As length of the arc with 72 deg is (72/360)*2πr
Circumstances of circle is 2πr so their ratio is 72/360 which is 1:5

Like? Yes (1) | No   

Bhoopendra Singh   10 years AGO

answer 1:5

Like? Yes (1) | No   

Anoop Tiwari   10 years AGO

since circumference=2*pi*r=2*pi/theta
and theta=length/radius
theta/2pi=1/circumference
theta/2pi=72/2*180=1/5=length/radius

Like? Yes (1) | No   

vivek   10 years AGO

(72/360)2*3.14*r : 2*3.14*r
= 72:360=1:5

Like? Yes (1) | No   

Ashu Ranjan   10 years AGO

360=2*pi*r
1=2*pi*r/360
72=2*pi*r/5

so ratio=1:5

Like? Yes (1) | No   

mithilesh kumar   10 years AGO

thea =length/radius

dividing both side by 2*pi
we get theta/2*pi=l/circumference since circumfernce=2*pi*r
here ratio l/circum=ratio of length
so ratio is=72/2*180
=1/5

Like? Yes (1) | No   

Arjun Raju   10 years AGO

72/360 gives 1/5 since angle =72 n total angle =360

Like? Yes (1) | No   

vandna   10 years AGO

i have calculated... :-)

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Nayan Ganguly   10 years AGO

72:360

Like? Yes (1) | No   

VIVEK SINGJ   10 years AGO

l=r*theta; and c=2*pie*r; theta =pi/5

Like? Yes (1) | No   

harshit gupta   10 years AGO

circumference=2*pi*r
length of arc=2*pi*r/360*72=2*pi*r/5
ratio=1:5

Like? Yes (1) | No   

harshit gupta   10 years AGO

circumference=2*pi*r
length of arc=2*pi*r/360*72=2*pi*r/5
ratio=1:5

Like? Yes (1) | No   

Sayantan Bhattacharya   10 years AGO

angle is 72 degree.
the angle formed by a circle is 360 degree.
So the ratio of its length to circumference of circle is 72/360
That is 1:5

Like? Yes (1) | No   

Nivedita Rai   10 years AGO

(pie*72/180)/2*pie=1:5

Like? Yes (1) | No   

ISHWARYA VASU   10 years AGO

72/360=0.2 which is 1:5

Like? Yes (1) | No   

sandeep kumar   10 years AGO

ANS=1:5(1)
length =(n*/360)*2*3.14*r
circumfrance of the circle =2*3.14*r
length/circumfrance=72/360=1/5

Like? Yes (1) | No   

shiva dwivedi   10 years AGO

The ratio of any arc length to the radius , s/r, will be the radian measure of the the central angle which that arc substends ,
so Radian measure of θ = s/r,

hence , length of arc/circumference of circle is = s / (2*pi*r)
which is equal to θ /(2*pi),
here θ =5*pi/2 in radian (for 72 degree)
therefore, length of arc/circumference of circle = 1/5 (ans)

Like? Yes (1) | No   

Chirag Ranjan Lahiri   10 years AGO

Length of arc = 2r * pi * (72/360)
Circumference of circle = 2 * pi * r

So ratio will be = 72/360 = 1/5 i.e 1:5
hence option 1...

Like? Yes (1) | No   

sanjeev kumar   10 years AGO

Ans 1:5

Like? Yes (1) | No   

Bibek Kumar Singh   10 years AGO

2/5*pi*r:2*pi*r
= 1:5

Like? Yes (1) | No   

Amit Kumar   10 years AGO

arc = angle * radius
circumference = 360 * radius

then, arc/circumference = 72/360 = 1/5

Like? Yes (1) | No   

NAVEEN KUMAR   10 years AGO

72/360=1/5=1:5

Like? Yes (1) | No   

mohit singhal   10 years AGO

total angle at the center of circle=360
arc makes angle at the center of circle=72
so ratio of arc/total circumference=72/360
=1/5
=1:5

Like? Yes (1) | No   

RISHI   10 years AGO

The length of an arc in an circle= [(theta)/360]*2*pi*r.
The circumference of circle= 2*pi*r.
So, the ratio of length of arc:circumference of circle= 1:5.(Ans)

Like? Yes (1) | No   

Ramesh Sriram   10 years AGO

72:360=1:5

Like? Yes (1) | No   

Asad Siddiqui   10 years AGO

RATIO=72/360=1/5

Like? Yes (1) | No   

Mithun Kumar Kesari   10 years AGO

ratio= 72/360=1/5

Like? Yes (1) | No   

Abhishek birkh   10 years AGO

we know that a circle have 360 degree angle,than
in puzzle given that arc is 72 degree than let length is x of a one arc.
than 360:72=1:5;it means arc of 72 degree divided a circle in 5 parts equal than ratio of arc length to circumferrence is 1:5

Like? Yes (1) | No   

Govind raj   10 years AGO

arc length=circumference of circle*(theta/360)...
so arc length/circumference of circle=72/360=1:5

Like? Yes (1) | No   

Kethineni Vinodh   10 years AGO

l=rteta
l/r=teta
l/2pie*r=teta/2pie
=72/360=1:5

Like? Yes (1) | No   

Shaikshavali   10 years AGO

72x5=360

Like? Yes (1) | No   

Ravi Kumar   10 years AGO

arc length:circumference=central degree:360
=>ratio=72:360= 1:5

Like? Yes (1) | No   

Darshana borade   10 years AGO

Theta*r/2*PI*r=72/2*180=1/5

Like? Yes (1) | No   

yogesh   10 years AGO

(72/360*2PIE*R)/2*PIE*R

Like? Yes (1) | No   

Devesh Gupta   10 years AGO

since full angle for circle is 360deg

thus ratio becomes=72/360=1:5

Like? Yes (1) | No   

samar   10 years AGO

360/72=5

Like? Yes (1) | No   

Pratik Kumar Seal   10 years AGO

Angle of arc to the centre of circle=72 degree
Angle of the total length of circle with centre=360 degree
Hence, ratio of length is 72:360=1:5

Like? Yes (1) | No   

shivam Pandey   10 years AGO

Ratio of arc to circumference= Ratio of (angle of arc) to 360
i.e.,
72/360= 1/5
= 1:5 Ans

Like? Yes (1) | No   

Daivashala   10 years AGO

Length of arc=(2*pi*R*angle of arc)/360
circumference of circle=2*pi*R
length of arc/circumference of circle=angle of arc/360=72/360=1:5

Like? Yes (1) | No   

T.Aravinth kumar   10 years AGO

72*r/360*r=1/5

Like? Yes (1) | No   

ANIMESH GORAI   10 years AGO

ans> 1)1:5
let r be the radius
length of arc=r*72=2*pi*r/5
circumference of circle=2*pi*r
l:c=2*pi*r/5 : 2*pi*r
l:c=1:5

Like? Yes (1) | No   

abhilasha   10 years AGO

We know Theta = l/r
Theta/2*pi = l/2*pi*r = l/Circumference
Theta/2*pi= 72/2*180= 1/5

So ratio is 1:5

Like? Yes (1) | No   

dhanaseelan   10 years AGO

Ratio will be 72 degree/360 degree==> 1:5

Like? Yes (1) | No   

Udaybhan Viswkarma   10 years AGO

72° is one fifth of a circle. So, The intercepted ratio is one fifth of this. I think so..

Like? Yes (1) | No   

MIKKI SINHA   10 years AGO

in 360 degree circumfrence is 2*3.14*r
in (360/5=72) circumfrence will also be 2*3.14*r/5
thus(2*3.14*r/5)/(2*3.14*r) =1:5

Like? Yes (1) | No   

Raghav Agarwal   10 years AGO

72=360/5
so 72/360=1:5

Like? Yes (1) | No   

veena madhuri   10 years AGO

length of arc=2*pi*r*(theta)/360
circumference of circle=2*pi*r
l:c=72/360
=1:5

Like? Yes (1) | No   

Md Parwez   10 years AGO

theta/360

Like? Yes (1) | No   

Megha GD   10 years AGO

angle made by circumference =360 deg
ratio len:circumference=72:360=1:5

Like? Yes (1) | No   

Hemadri   10 years AGO

Arc angle=72
arc length/circumference=Given angle/Total angle sum in circle.
=72/360=1:5

Like? Yes (1) | No   

ramesh raj   10 years AGO

bcoz it divid circle in 5 part..

Like? Yes (1) | No   

MANISH KUMAR   10 years AGO

lenght of arc= 72/360*2*pi*r

circumference of circle= 2*pi*r

so ratio of length of arc to circumference of circle = 72/360= 1:5

Like? Yes (1) | No   

Himanshu Mittal   10 years AGO

total angle swept by circle=360
Angle swept by arc=72
therefore, ratio of length of arc to circumference of circle=72:360
=1:5

Like? Yes (1) | No   

hemlata gupta   10 years AGO

a=72/360*3.14*r*r
a=1/2*l*r
1/2*r*r = 1/5*3.14*r*r
1/5=l/2*3.14*r

Like? Yes (1) | No   

karthikeyan   10 years AGO

The circumference is 360 degrees. 5*72=360,
So the ratio is 1:5

Like? Yes (1) | No (1)  

v pavan   10 years AGO

length of arc/circumference=(72/360)=1/5

Like? Yes (1) | No (1)  

Akshay   10 years AGO

Total angle made at a point=360 degree
arc formed 72 degree i.e.it will cover 1/5 portion length of circumference

Like? Yes (1) | No (1)  

MRITUNJAY KUMAR   10 years AGO

Option1) 1:5

Like? Yes (1) | No (1)  

ABHILESH PURI GOSWAMI   10 years AGO

length of arc = (72/360)*2*pi*r
length/cirumference = 1/5
ans is 1

Like? Yes (1) | No (1)  

lakshmi nalluri   10 years AGO

(2*pi*r)72/360=length of arc
circumference=2*pi*r
ratio=1/5

Like? Yes (1) | No (1)  

sujata chakraborty   10 years AGO

s(arc length)=r*angle(in radians)=r*(2/5)*pi
c(circumference)=2*pi*r
s/c=1/5

Like? Yes (2) | No (2)  

SURAJIT KUNDU   10 years AGO

72:360
=1:5

Like? Yes (1) | No (1)  

Devendra Marghade   10 years AGO

Length of an arc=2*Pi*r*(72/360)=(2/5)*Pi*r
Circumference=2*Pi*r
Ratio the length of the arc to the circumference =(2/5)*Pi*r/(2*Pi*r)=1/5

Like? Yes (1) | No (1)  

Ankit Sirohi   10 years AGO

formula to be used :
S=2*3.14*r * (72/360)
here s is arc length , r is radius of circle

where S/2*3.14*r= 72/360= 1:5 ...option 1

Like? Yes (1) | No (1)  

Sukanya   10 years AGO

Total angle=360 degree
Arc angle=72 degree
72:360=1:5

Like? Yes (1) | No (1)  

Sahil Jain   10 years AGO

length of arc= (θ/360)/2Πr
circumference of circle=2Πr
ratio= length of arc/length of circumference
=((θ/360)/2Πr)/2Πr
here θ= 72
so,
= ((72/360)*2Πr)/2Πr)
=1/5
=1:5

Like? Yes (1) | No (1)  

Md.Sultan Khichi   10 years AGO

Length of the arc=angel made by arc at the centre/360°*2πr
Length/2πr=72/360=1:5

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Gitanjali K   10 years AGO

1:5

Like? Yes (1) | No (1)  

S.SHAFI   10 years AGO

Ratio: (angle/360)*2*pi*r / 2*pi*r;

Ratio: angle/360 = 72/360 = 1/5

Ratio ; 1:5...

Like? Yes (1) | No (1)  

Arijit Acharyya   10 years AGO

arc length/circumference=72/360=1/5
ratio= 1 : 5
option A)

Like? Yes (1) | No (1)  

vartika    10 years AGO

s=(pi/180)*72*r
Circumference of circle= 2pi*r
so , s/c= 1/5

Like? Yes (1) | No (1)  

Narasapu Hari prasad   10 years AGO

ans is option 6 1:4
total degrees of circle is 360
so 72/(360)=72/360=1/5=1:5

Like? Yes (1) | No (1)  

PAWAN KUMAR   10 years AGO

we know that the ratio of the length of arc to the circumference of the circle = angle swept/360 = 72:360 = 1:5.

Like? Yes (1) | No (1)  

mamta garkoti   10 years AGO

length of arc = 2 *pi *r* 72/360=2/5 *pi*r
circumference of circle= 2* pi *r
hence ratio of length of arc to circumference= (2/5*pi*r)/(2*pi*r)= 1:5

Like? Yes (1) | No (1)  

SIDDHARTH KUMAR   10 years AGO

required ratio=((2*pi*r*72)/360)/2*pi*r=1/5=1:5

Like? Yes (1) | No (1)  

KADARI HARISH   10 years AGO

circumference = pi*D=3.14D
the arc length is 3.14*D/5 because the arc is 72/360=1/5 in the entire circumference..
so, arc length to circumference of circle is = 3.14*D/5 : 3.14*D
= 1:5

Like? Yes (1) | No (1)  

Puspendu Bhowmick   10 years AGO

No of degrees in a circle=360
given angle =72
rato=72:360
=1:5

Like? Yes (1) | No (1)  

debjeet   10 years AGO

arc:circumference=72*r : 2*360*r=1:5

Like? Yes (1) | No (1)  

nishu kumar   10 years AGO

length of arc=r*angle tih center
and 72 degree=2pi/5
ratio=2*pi*r/2*pi*r*5
ratio=1:5

Like? Yes (1) | No (1)  

karthik   10 years AGO

72/360

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Deepu Kumar   10 years AGO

as we know that area of arc =2*^*r*C/360
and area of circumference = 2*^*r

so ratio=1:5 so option 1 will be correct.

Like? Yes (2) | No (2)  

Surit Datta   10 years AGO

we know arc length formula is
s = r*theta
and circumference is 2*pi*r
we know theta is 72 degree
and pi is 180 degree
so ratio is
(r*72)/(2*180*r)
solving we get 1:5
That's it..

Like? Yes (1) | No (1)  

Shashank Dubey   10 years AGO

length of arc = (2π*R*θ )/360
θ = is central angle= 72degree
2πR= circumferance
by putting the value we get ratio of 1:5

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mukesh   10 years AGO

ratio=(2*3.14*r*72)/(2*3.14*r*360)
=1/5
=1:5

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niraj   10 years AGO

ratio=72/360*2pi*r / 2*pi*r = 0.2/1 =1:5

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phoenix    10 years AGO

72*5 =360
so ratio is 1:5

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Rohan   10 years AGO

Length of arc= (72/360)*2*pi*r = 2/5 *pi*r
Circumference of circle= 2*pi*r
So, the ratio= 1:5

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Deepak Baran   10 years AGO

degree covered by arc is directly pro. to ech other..

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Tania Chatterjee   10 years AGO

Length of arc = 72/360 * 2*pi*r
Circumference = 2*pi*r
hence A:C=1:5

Like? Yes (1) | No (1)