As shown in the diagram, rectangle $ABCD$ is a metal sheet in which $CD =20\, cm$ and $BC =14 \,cm .$ From it, a semicircle with diameter $\overline{ BC }$ and a sector with centre $A$ and radius $AD$ is cut off. Find the area of the remaining sheet. (in $cm^2$)
$34$
$59$
$49$
$51$
If the radius of a circle is increased by $10 \%,$ then the corresponding area of new circle will be $\ldots \ldots \ldots . . .$
The cost of erecting wall all around a circular ground at the rate of ₹ $60 / m$ comes to be ₹ $26.400 .$ Find the cost of levelling the ground at the rate of ₹ $50 / m ^{2}$. (in ₹)
The maximum area of a triangle inscribed in a semicircle with diameter $30 \,cm$ is $\ldots \ldots \ldots . cm ^{2}$
Is the area of the circle inscribed in a square of side $a \,cm , \pi a^{2}\, cm ^{2}?$ Give reasons for your answer.
The area of a sector formed by a $12\,cm$ long arc in a circle with radius $12\,cm$ is $\ldots \ldots \ldots . . cm ^{2}$.