Question

If circumference of circle equal to perimeter of square then find their ratio

Answer 1

Circumference = perimeter

2 pi r = 4a

2 * 22/7 * r = 4a

22/7 * r  = 2a

r = 2a * 7/22 = 7/11 a

Area of circle / area of square 

= pi r2 / a2

= 22/7 * 7 / 11 a * 7/11 a / a2

=14 : 11

Answer 2

Answer: The ratio of radius to side is given by 7:11.

Step-by-step explanation:

Since we have given that

Circumference of circle = Perimeter of square

Let the r be the radius of circle.

Let the a be the side of square.

According to question, we get that

$2\pi r=4a\\\\\pi r=2a\\\\\frac{22}{7}r=2a\\\\\frac{r}{a}=\frac{14}{22}=\frac{7}{11}$

So, the ratio of radius to side is given by 7:11.