In a circle with radius $50\, cm$, the area of the sector formed by a $20 \,cm$ long arc is $\ldots \ldots \ldots cm ^{2}$
$1000$
$500$
$250$
$750$
The ratio of areas of two circles is $25: 36 .$ Then, the ratio of their circumferences is.........
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 $m$)
Find the area of a sector of a circle of radius $28 \,cm$ and central angle $45^{\circ} .$ (in $cm ^{2}$)
With respect to the given diagram, which of the following correctly matches the information in Part $I$ and Part $II$ ?
Part $I$ | Part $II$ |
$1.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ APB }$ | $a.$ Major sector |
$2.$ $\overline{ AB } \cup \widehat{ AQB }$ | $b.$ Minor segment |
$3.$ $\overline{ AB } \cup \widehat{ APB }$ | $c.$ Minor sector |
$4.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ AQB }$ | $d.$ Major segment |
The area of a sector formed by a $12\,cm$ long arc in a circle with radius $12\,cm$ is $\ldots \ldots \ldots . . cm ^{2}$.