The perimeter of square circumscribed about a circle of radius 4r is:

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26 Oct 2016 Perimeter

The perimeter of square circumscribed about a circle of radius 4r is:

OPtion

1) 2r
2) 4r
3) 8r
4) 21 pir
5) 12r
6) 12 pi r
7) 8 pi r
8) 24r
9) 24 pi r
10)None of these

Solution

Side of the square = 8r
Perimeter of square= 4*8r = 32r

Option 10)

Correct Option: 10 Best Solution (19)

G.S.Kantharao   8 years AGO

Radius of the circle = 4r
Then the side of the square = 8r
Perimeter = 4*8r=32r
There is no solution given Hence my choice is 10.

Like? Yes (2) | No (1)  

Anamika singh   8 years AGO

radius of circle=4r
so, diameter of the circle=8r
then , side of square=diameter of the circle
perimeter of square=4(side of square)
= 4(8r)
=4×8r = 32r. so option 10 is correct👍

Like? Yes (1) | No   

suma priya   8 years AGO

diameter of circle= 4r+4r=8r
side of square=8r
perimeter=4(8r)
=32r

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harsh dhir   8 years AGO

radius=4 r
dia=2*4 r=8 r
This dia is equal to side of square
perimeter of square=4* side=4*8 r=32 r

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anubhav verma   8 years AGO

side of a square = diameter of square = 8r

perimeter = 4× 8r = 32r

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Abhishek Choubey   8 years AGO

the perimeter of square will be 32r since from diagram the side of circumscribed square will be 8r and thus perimeter 32r

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PINTU PRASAD GUPTA   8 years AGO

Let side of square be a
Here radius of circle = 4r
ther side of square circumscribe about circle = diameter of circle = 2*4*r= 8r
there for perimeter = 4*a= 4*8*r= 32r
here no answer match hence option = 10 none of above

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sreekarreddy   8 years AGO

radius of circle =4r
so diameter is 4r+4r=8r
perimeter =4*8r =32r

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Janardhan   8 years AGO

perimeter of a square is:- 4a
a=8r/root(2)
4a=16*root(2)r
so none of therse

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Shefali jain   8 years AGO

Diameter of circle= Side of square
Diameter of circle= 2(radius of circle)= 2* 4r= 8r
Side of square= 8r
Perimeter of square= 4(side) = 4* 8r = 32r

So, answer is 32r but it is not an option.
So, none of these is correct answer.

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MIQNOL JAGADEESH   8 years AGO

radius=4r
dia=8r
one side of square=8r
perimeter of square = 32r

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Abhishek Divakar   8 years AGO

Radius of circle = 4r
Diameter of circle = edge of Square = 8r
perimeter = 4 x edge = 32r

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Shivani Maikhuri   8 years AGO

perimeter of square=4*side
radius of circle given=4r
diameter of circle=2*4r=8r
side of square=8r
perimeter=4*8r=32r

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Nwobi Chibuzor    8 years AGO

Perimeter of a square = 4 * (side of square)
Side of square = (radius of circle) * 2 = 2 * 4r = 8r
Perimeter = 4 * 8r = 32r
opt 10. None of these

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mdthameemunansar   8 years AGO

if diagonal having length 4r then by applying pytogorous theorem a=2 rt (3)r
so perimeter = 4*2rt (3)r=8rt (3)r

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Nitish kesarwani   8 years AGO

since square inscribe inside citcle of radiud 4r
by pythogroas theorem side of sqre is =4 root2
hence per=4*4root2 =16root2
option 10

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shivam ahuja   8 years AGO

twice of radius =diagonal of square
therefore,8r=diagonal=under root 2 a^2
a=8r/root2
perimeter=16(root2)r

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sanjay grover   8 years AGO

diagnol of a square=8r
1.414*side= diagnol
side=5.657r
so perimeter= 4*side
=22.63r

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Dinesh Sharma   8 years AGO

side of square=diameter of circle = 2* radius=2*4r=8r
so, perimeter of square = 4*side= 4*8r=32r

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