Question

the cost of decorating the circumference of a circular lawn of a house at the rate if rs.55 per metre is rs.16940.what is the radius of the lawn?​

Answer 1

Step-by-step explanation:

$circumference = 2 \times \pi \times r$

Given : cost=16940.Rs

$2 \times \pi \times r \times times cost \: per \: mte = total \: cost$

$2 \times 22 \div 7 \times r \times 55 = 16940$

2420/7*r=169409

7r=16940/2420

7r=7

r=7/7

$r = 1$

Answer 2

Answer:

The radius of the lawn is 49 meter.

Step-by-step explanation:

Given : The cost of decorating the circumference of a circular lawn of a house at the rate if Rs.55 per meter is Rs.16940.

To find : What is the radius of the lawn?​

Solution :

The circumference of circular lawn is $C=2\pi r$

$\text{Total cost}= \text{Cost per minute} \times \text{Circumference}$

Total cost = Rs.16940

Cost per minute = Rs.55

Substitute the values,

$16940=55\times 2\times 3.14\times r$

$r=\frac{16940}{55\times 2\times 3.14}$

$r=49.04$

Approximately, radius is r=49.

Therefore, the radius of the lawn is r=49.