Question

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

Answer 1

Step-by-step explanation:

Perimeter of circle = 2πr

Perimeter of square = 4a

4a = 2πr

a = 2πr/4

a = πr/2 ----> (1)

4a = 2πr

r = 4a/2π

r = 2a/π. --->(2)

a/r = (πr/2)/2a/π. (1)/(2)

= πr/2 × π/2a

= π^2r/4a

Answer 2

Answer:

Given :-

• Perimeter of square = Circumference of circle

To Find :-

• The ratio of side of square & radius of circle

We know that ,

• Perimeter of square = 4a ( a = side )
• Circumference of circle = 2 pie r ( r = radius )
• Area of square = a × a = a^2 ( a = side )
• Area of circle = pie r^2 ( r = radius )

So , as per the question...

4a = 2 pie r

Or , a = pie r / 2

So ,

=》Area of square / Area of circle

=》a^2 / pie r^2

=》( pie ^2 × r^2 / 4 ) / pie r^2 ( using a = pie r / 2 )

=》pie / 4

So , the ratio of side of square & radius of circle is pie : 4 ( use the sign of pie instead of writing it's spelling )

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