A square lamina of side a and a circular lamina of diameter a are placed touching each other as shown in figure. Find distance of their centre of mass from point O, the centre of square.

Answer

A, D

Explanation

`d=(A_1d_1+A_2d_2)/(A_1+A_2)`
Here, `d="distance of centre of mass from" O`.
`:. d=((a^2)(0)+(pi/4a^2)(a))/(a^2+(pi//4)a^2)`
`=((pi)/(pi+4))a`