Question

the area of the circle is same as the area of the square.the raio of the perimeter is​

Answer 1

Let the length of each side of the square be a cm and radius of the circle be r cm.

By given, area of square = area of circle

⇒a

2

=πr

2

⇒a=r

π

∴ Required ratio =

4a

2πr

=

4r

π

2πr

=

2π

= under root π :2

Answer 2

Step-by-step explanation:

Let the length of each side of the square be a cm and radius of the circle be r cm.

Be given, area of square=area of circle

$= > a^{2} = \pi \: r ^{2} \\ = > a = r \sqrt{\pi}$

•°•Required ratio=

$= \frac{2\pi \: r}{4a} = \frac{2\pi \: r}{4r \sqrt{\pi} } = \frac{ \sqrt{\pi} }{2} = \sqrt{\pi} \: = 2$