Three medians $AD, BE$ and $CF$ of $\Delta ABC$ intersect at $G.$ The area of $\Delta ABC$ is $36 \text{ cm}^2$. Then the area of $\Delta CGE$ is (in $\text{cm}^2$)

One side of the parallelogram is $14\, cm$. Its distance from the opposite side is $16\, cm$. The area of the parallelogram is........$cm^2$.

The difference of the areas of two squares drawn on two line segments of different lengths is $32 \, cm^2$. Find the length of the greater line segment if one is longer than the other by $2 \, cm$. (in $cm$)

$A$ wire is in the form of a circle of radius $42 \ cm$. It is bent into a square. The side of the square is? (in $cm$)

$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \text{ cm}$ and $26 \text{ cm}$. The area of the circle is .......... $\text{cm}^2$. [Take $\pi = \frac{22}{7}$]

$AB$ and $CD$ are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is $17 \, cm$. The lengths of $AB$ and $CD$ are $10 \, cm$ and $24 \, cm$ respectively. The radius (in $cm$) of the circle is