$A$ rope by which a calf is tied is increased from $12 \ m$ to $23 \ m$. How much additional grassy ground shall it graze? (in $m^2$)

$A$ circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular path is $132 \, m$. Its width is.....$m$.

Find the curved and total surface area of a conical flask of radius $6\, cm$ and height $8\, cm$.

If in a triangle,the area is numerically equal to the perimeter,then the radius of the inscribed circle of the triangle is

$A$ lawn is in the form of a rectangle having its breadth and length in the ratio $3:4$. The area of the lawn is $\frac{1}{12}$ hectare. The breadth of the lawn is..........$metres$.

If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).