A field is in the shape of an equilateral triangle in which the length of each side is $70\, m$. A cow is tethered at one of its vertices by a $5 \,m$ long rope. Find the area of the region in the field in which the cow can graze. $(\pi=3.14)$ (in $m^2$)

As shown in the diagram, the length of square garden $ABCD$ is $60\, m$. Flower beds are prepared in the shape of segment on two opposite sides of the square. The centre of the segments is the point of intersection of the diagonals of square $ABCD.$ Find the area of the flower beds. $(\pi=3.14)$ (in $m^2$)

If the sum of the circumferences of two circles with radii $R_{1}$ and $R_{2}$ is equal to the circumference of a circle of radius $R ,$ then

The circumference of a circle is $176 \,cm .$ Find its radius. (in $cm$)

As shown in the adjoining diagram, the length of the square plot ABCD is $50 m .$ At each vertex of the plot, a flower bed in the shape of a sector with radius $10 \,m$ is prepared. Find the area of the plot excluding the flower beds. $(\pi=3.14)$ (in $m^2$)

The radius of a circular ground is $56\, m$. Inside it, runs a road of width $7 \,m$ all along its boundary. Find the area of this road. (in $m^2$)