Question

what is the ratio pf the perimeter of the square to the circle when the length of diameter of the circle is equal to the side length of the square​

Answer 1

Answer:

The ratio of the perimeter of the square to the circle when the length of diameter of the circle is equal to the side length of the square​ is $4/\pi$

Step-by-step explanation:

A square is a four-sided polygon with all sides are equal in length

let the length of one side of a square be $l$

the perimeter is the linear distance around the square which is equal to $4l$

for a circle, the perimeter is the length of its boundary and is equal to $2\pi r$

where $r$ is the radius of the circle

from the question, the length of the square is equal to the diameter of the circle

so the radius of the circle is $r=l/2$

now the perimeter of the circle is $2\pi l/2=\pi l$

the ratio of the perimeter of the square to the circle is $4l/\pi l=4/\pi$