As shown in the adjoining diagram, the length of the square plot ABCD is $50 m .$ At each vertex of the plot, a flower bed in the shape of a sector with radius $10 \,m$ is prepared. Find the area of the plot excluding the flower beds. $(\pi=3.14)$ (in $m^2$)
$2784$
$2635$
$2186$
$2745$
The diameter of a circular garden is $210 \,m .$ Inside it, all along the boundary, there is a path of uniform width $7 \,m .$ Then, the area of the path is $\ldots \ldots \ldots \ldots m ^{2}$.
In a circle with radius $42\, cm$, a minor arc subtends an angle of measure $60$ at the centre. Find the area of the minor sector and the minor segment corresponding to this arc. $(\sqrt{3}=1.73)$
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 |
Find the area of the sector of a circle of radius $5\, cm ,$ if the corresponding arc length is $3.5\, cm$. (in $cm^2$)
The area of a circle is $346.5 \,cm ^{2}$. Find its. radius. (in $cm$)