A square shaped hole of side `l = a/2` is carved out at a distance ` d = a/2` from the centre 'O' of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion from O is `-a/x` value of X (to the nearest integer) is _________.

Explanation

`X_(cm) = (pia^(2)xx 0 - (a^(2))/4 xxa/2)/(pia^(2) - (a^(2))/4)`
` = (-a)/(2 (4pi - 1)) = (-a)/(8pi-2)`
` X = (8 pi - 2) = 8 xx 3.14 - 2 `
` = 23.12 `
Nearest Integer = 23