Home
Class 10
MATHS
The area of a circular plot is 346.5 m^(...

The area of a circular plot is `346.5 m^(2)`. Calculate the cost of fencing the plot at the rate of Rs 6 per metre

Text Solution

Verified by Experts

Area of plot `= 346.5 m^(2)`
`rArr pi r^(2) = 346.5 m^(2) " " rArr r^(2) = (346.5 xx 7)/(22)`
`rArr r^(2) = 110.25 " " rArr r = 10.5 m`
Circumference of plot `= 2 pi r = 2 xx (22)/(7) xx 10.5 = 66 m`
Cost of fencing of = Circumference `xx` Cost of fencing per metre
`= Rs 66 xx 6 = Rs 396`
Promotional Banner

Topper's Solved these Questions

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT /exemplar|25 Videos
  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12 A|24 Videos
  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

Similar Questions

Explore conceptually related problems

The area of a circular field is 2464 m^(2) . Find the cost of fencing it at the rate of Rs. 6.50 per metre .

The area of a circular playground is 22176 m^(2) . Find the cost of fencing this ground at the rate of Rs. 50 per m.

The diameter of a circular plot is 49m. Find the cost of fencing it at 30 paise per metre

The circumference of a circular garder is 572 m. Outside the garden a road of width 3.5 m runs around it. Calculate the cost of repairing the road at the rate of Rs 3.75 per square metre

The length and breadth of a field are in the ratio 3:2. The cost of fencing the field at the rate of ₹ 60 per metre is ₹ 6000. Find the dimensions of the field.

A rectangular plot has its length 40 m and breadth 15 m. Calculate the cost of fencing the plot at ₹ 30 per metre.

The length and the breadth of a rectangular field are in the ratio 5:4 and its area is 3380 m^(2) . Find the cost of fencing it at the rate of Rs. 75 per m.

A path 1 m wide is built inside a square park of side 30 m along its sides. Find the area of the path. Calculate the cost of constructing the path at the rate of Rs 70 per m^2

A plot has the shape of a square. Its one side is 24 m long. What will be the cost of fencing the plot at ₹ 20 per metre?

Find the cost of fencing a square park of side 300m at the rate of Rs. 20 per metre.