Question

The Radius of a circular garden is 56M. What would it cost to put a 4 round fence around this garden at a rate of 40 Rupees per meter​

Answer 1

Answer:

56268.8 rupees

Step-by-step explanation:

given radius(r) of circular garden is 56m

we need to the find the fence of the circle that means perimeter of the circle

so, perimeter of the circle(p) is 2πr

p=2πr

p=2(3.14)(56m)

p=351.68m

for one meter(per meter) the cost of fence is cost*perimeter

cost/meter=40*351.68

=14067.2

the cost of fence of one round is

cost/meter i.e. 14067.2

for the cost of fence of 4 rounds is 4(cost/meter)

4(14067.2)

56268.8 rupees

Answer 2

Given,

The radius of a circular garden = 56 meters

Cost of fencing around the garden = Rs. 40 per meter

To find,

Total cost in putting a 4 round fence around the garden.

Solution,

We can simply solve this mathematical problem using the following process:

As per mensuration,

the perimeter of a circular garden

the perimeter of a circular garden= circumference of the circular garden

the perimeter of a circular garden= circumference of the circular garden= 2 x π x radius

Now,

Circumference of the circular garden

= 2 x π x radius

= 2 x π x 56 meters

= 2 x 22/7 x 56 meters

= 352 meters

The total length of putting a 4 round fence around the garden = 4 x circumference of the circular garden

= 4 x 352 meters

= 1408 meters

Now,

Total cost in putting a 4 round fence around the garden

= Total length of putting a 4 round fence around the garden x cost of fencing 1 meter

= 1408 meters x Rs. 40

= Rs. 56,320

Hence, the total cost of putting a 4 round fence around the garden is Rs. 56,320.