The maximum area of $\Delta ABC$ inscribed in a semicircle with radius $10 \,cm$ is .......$cm ^{2}$.
$200$
$100$
$50$
$400$
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters $16\, m$ and $12 \,m$ in a locality. The radius of the new park would be (in $m$)
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 $cm ^{2}$)
The diagram below is formed by three semicircles. If $OA = OB =70\, cm ,$ find the area of the figure formed. (in $cm^2$)
A calf is tied with a rope of length $6 \,m$ at the corner of a square grassy lawn of side $20\, m$. If the length of the rope is increased by $5.5\, m$, find the increase in area of the grassy lawn in which the calf can graze. (in $m ^{2}$)
The circumference of a circle with radius $8.4\,cm$ is $\ldots \ldots \ldots \ldots cm$.