Question

if the perimeter of the square and a circle are equal then what is the ratio of the square and the radius of the circle ​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

ANSWER

Given the perimeter of the circle is equal to that of the square.

P

circle

=P

square

Let r be the radius of the circle & a besides of square, then

2πr=4a

[

a

r

=

2π

4

=

π

2

]

Now

Areaofsquare

Areaofcircle

=

a

2

πr

2

=π(

a

r

)

2

Using

a

r

=

π

2

, we get

A

square

A

circle

=π(

π

2

)

2

=

π

2

4

×π=

π

4

Hence the ratio of Area of a circle to that of a square is

π

4

.

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