Question

The radius of a circular garden is 49 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre ?​

Answer 1

Answer:

49,280 Rupees

Step-by-step explanation:

According to the information provided in the question it is given as

Radius of circular garden =49 m

Cost of fencing at 40 Rupees per meter

We need to find the cost of fencing four round

Here in the question first we find the perimeter of circular garden as the fencing is done on the perimeter

The perimeter of a circle is its boundary or the complete arc length of the periphery of a circle. The term that denotes the perimeter of a circle

Perimeter = 2$\pi r$

Putting the value we get the answer

$P= 2\times \frac{22}{7} \times 49$

Converting to lowest term

$P= 2\times22\times7$

(As 49 and 7 are divisible by 7)

$P=44\times 7\\P= 308m^{2}$

Now  

4 round  

$=4\times 308\\=1232m^{2}$

Hence 1232$m^{2}$ is the required length for fencing

Total cost for fencing 4 round =

$=1232\times 40\\=49,280 Rupees$