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 ₹)
$672000$
$752000$
$770000$
$519000$
In $\odot( O ,\, 5.6), \overline{ OA }$ and $\overline{ OB }$ are radii perpendicular to each other. Then, the difference of the area of the minor sector formed by minor $\widehat{ AB }$ and the corresponding minor segment is $\ldots \ldots \ldots \ldots cm ^{2}$.
The diameter of a circle with area $154\,cm ^{2}$ is $\ldots \ldots \ldots . cm$.
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 radius of a field in the shape of a sector is $50 \,m$. The cost of fencing its boundary is ₹ $5400$ at the rate of ₹ $30 / m$. Find the cost of tilling at the rate of ₹ $15 / m ^{2}$. (in ₹)
The length of the minute hand of a clock is $12\,cm .$ The area of the region swept by it in $5$ minutes is $\ldots \ldots \ldots . . cm ^{2} .(\pi=3.14)$