In the figure, $ABCD$ is a square in which length of diagonal is $46 \mathrm{cm}$. Radius of each small circle is one-fourth of the radius of larger circle, then length of radius of each small circle is

Six circles, each of radius $2 \mathrm{cm}$ are inscribed in an equilateral triangle, the perimeter of the triangle will be:

Find the value of K.

The area of a sector of a circle of radius $5 \mathrm{cm}$ formed by an arc of length $3.5 \mathrm{cm}$ is ${\mathrm{K} \mathrm{cm}}^2$

In figure, $ABC$ is a quadrant of a circle of radius $14 \mathrm{cm}$, then the area of the shaded portion is _____${\mathrm{cm}}^2$. ( Use $\mathrm{\pi }=\frac{22}{7}$)

In the figure, two circular flower beds have been shown on two sides of a square lawn $ABCD$ of side $50 \mathrm{m}$. If the centre of each circular flower bed is the point of intersection of the diagonals of the square lawn. If the sum of the areas of the lawn and the flower beds is $k {\mathrm{cm}}^2$, find $k$.  (Use $\mathrm{\pi }=3.14$)

Find the value of K

The area of the shaded part in the given figure is ${\mathrm{K} \mathrm{cm}}^2$  (Take $\mathrm{\pi }=3.14$)

In the square $ABCD$ with side $2a$ with the vertices of the square as centre and $\frac{1}{2}$ the side of the square as radius, four sectors have been drawn. Find the area of the shaded portion.

Four equal circles are described about the four corners of a square so that each touches two of others, as shown in figure. Each side of square measuring $14 \mathrm{cm}$. If the area of the shaded region is $k {\mathrm{cm}}^2$, find $k$. (Use $\mathrm{\pi }=\frac{22}{7}$)