Find the area of a rhombus one of whose diagonals measures $10 \text{ cm}$ and the other $12 \text{ cm}$. (in $\text{cm}^2$)

The area of a circle is $154 \, cm^{2}$. The length of an arc of the circle which subtends an angle of $45^{\circ}$ at the centre is......$cm$.

The area of an equilateral triangle is $9 \sqrt{3} \ m^{2}$. The length (in $m$) of the median is

The perimeter of a rhombus is $60 \, cm$ and one of its diagonals is $24 \, cm$. The area (in $sq. cm$) of the rhombus is

The wheel of a scooter has a diameter of $70\, cm$. How many revolutions per minute must the wheel make so that the speed of the scooter is kept at $66\, km/h$?

The radius of a wheel is $1.4$ decimetre. How many times does it revolve during a journey of $0.66$ km?