If a diameter of a circle is increased by $40\%$, then its area increases by

In the figure below, if the radius of the circle is $10 \mathrm{cm}$, then the shaded area is

In the figure, the area of the segment $\mathrm{PAQ}$ is

In figure, the area of segment $\mathrm{ACB}$ is
          

In figure, the ratio of the areas of two sectors $S_1$ and $S_2$ is

In the figure below, if $△\mathrm{ABC}$ is an equilateral triangle, then shaded area is equal to