Question

What is the ratio of the circumference of the incircle of a square with the perimeter
of the square?
1) 13 : 11
2) 11 : 18
3) 18 : 11 4) 11 : 14​

Answer 1

Answer:

let the length of each sides of square be a

then, perimeter of square be 4a

circumference of incircle of triangle be 2πr= 2π(a/2) [as length of diameter of incircle be equal to length of square]

therefore,ratio ={2π(a/2)}\4a

={2×22/7×a/2}\4a=11/14