The radius of a circular ground is $63 \, m$. Find the cost of fencing its boundary at the rate of ₹ $50 / m$. Find the cost of levelling the ground at the rate of ₹ $40 / m^2$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $1$. Cost of fencing: The boundary of the circular ground is its circumference,given by $C = 2 \pi r$.
Using $r = 63 \, m$ and $\pi = 22/7$,we get $C = 2 \times (22/7) \times 63 = 2 \times 22 \times 9 = 396 \, m$.
The cost of fencing is $396 \, m \times ₹ 50/m = ₹ 19,800$.
$2$. Cost of levelling: The area of the circular ground is $A = \pi r^2$.
$A = (22/7) \times 63 \times 63 = 22 \times 9 \times 63 = 12,474 \, m^2$.
The cost of levelling is $12,474 \, m^2 \times ₹ 40/m^2 = ₹ 4,98,960$.

Explore More

Similar Questions

The ratio of the radii of two circles is $4: 5$. Then,the ratio of their areas is...........

An archery target has three regions formed by three concentric circles as shown in the figure. If the diameters of the concentric circles are in the ratio $1: 2: 3$,then find the ratio of the areas of the three regions.

In the adjoining figure,$PS$ is the diameter of a circle and $PS = 12$. $PQ = QR = RS$. Semicircles are drawn with diameters $\overline{PQ}$ and $\overline{QS}$. Find the perimeter and the area of the shaded region. $(\pi = 3.14)$

Difficult
View Solution

The diameter of a circle with area $38.5 \, m^2$ is $\ldots \ldots \ldots \ldots m$.

If the length of an arc of a circle of radius $r$ is equal to that of an arc of a circle of radius $2r$,then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false? Why?

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo