The largest and the second largest angles of a triangle are in the ratio of $4:3$. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle? (in $^o$)

$A$ rope,by which a horse is tied,is increased from $12 \ m$ to $23 \ m$. How much additional ground will it be able to graze? (in $m^2$)

$A$ rectangular plot is $180 \, m^2$ in area. If its length is $18 \, m$,then its perimeter is ...... $m$?

The ratio between the areas of two circles is $4: 7.$ What will be the ratio of their radii?

$A$ rectangular paper,when folded into two congruent parts,has a perimeter of $34\, cm$ for each part when folded along one set of sides and a perimeter of $38\, cm$ when folded along the other set of sides. What is the area of the original paper in $cm^2$?

$A$ square is inscribed in a circle whose radius is $4\, cm$. The area of the portion between the circle and the square is