The maximum area of a triangle inscribed in a semicircle with diameter $50 \,cm$ is........... $cm^{2}$
$1250$
$625$
$2500$
$312.5$
Area of the largest triangle that can be inscribed in a semi-circle of radius $r$ units is
Is the area of the circle inscribed in a square of side $a \,cm , \pi a^{2}\, cm ^{2}?$ Give reasons for your answer.
If the radius of a circle is increased by $10 \%,$ then the corresponding area of new circle will be $\ldots \ldots \ldots . . .$
The perimeter of a semicircular table-top is $3.60\,m .$ Then, its radius is $\ldots \ldots \ldots . . cm .$
In $Fig.$ $AB$ is a diameter of the circle, $AC =6\, cm$ and $BC =8 \,cm .$ Find the area of the shaded region (Use $\pi=3.14$ ). (in $cm ^{2}$)