Question

In the figure, one-fourth of a uniform disc of radius $R$ is shown. The distance of the centre of mass of the quarter disc from the centre $O$ is given by $\frac{\sqrt{n}R}{3\pi }$. Find the value of $\frac{n}{4}$

Answer 1

$d\cos {45}^{\circ }=\frac{4R}{3\pi }$

$d=\frac{4\sqrt{2}R}{3\pi }$