(i)[5]
Show that $r = 0.214$, accurate to $3$ significant figures.
(ii)[4]
Find the weight of the original square lamina before the hole was cut.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
$ABCD$ denotes a uniform square lamina with side length $0.6\text{ m}$. A circular hole of radius $r\text{ m}$ is cut in the lamina. The centre of the hole is $0.3\text{ m}$ from $AB$ and $0.25\text{ m}$ from $AD$. The lamina is freely suspended from $A$ and hangs so that the axis of symmetry makes an angle of $48^\circ$ with the horizontal (see Fig. 1).