Find the area of the shaded region in $Fig.$
A circular pond is $17.5 \,m$ is of diameter. It is surrounded by a $2 \,m$ wide path. Find the cost of constructing the path at the rate of $Rs.\, 25$ per $m ^{2}$ (in $Rs.$)
All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is $1256 \,cm ^{2}$. (Use $\pi=3.14$ ). (in $cm ^{2}$)
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
Area of the largest triangle that can be inscribed in a semi-circle of radius $r$ units is