Question

3. The cost of fencing a circular garden at the rate of * 25 per meter is 5500. Find the
diameter of the garden.​

Answer 1

Step-by-step explanation:

cost = 25/m

expenditure = 5500

perimeter = 5500 /25

perimeter = 220

circumference = perimeter

circumference = πd

220 = 3.14d

d = 220 / 3.14

d = 70.06

Answer 2

• The diameter of the circular garden is 70m

Given:

The cost of fencing a circular garden is Rs 5500 at the rate of 25 per meter.

To find:

The diameter of the circular garden

As we know,

Fencing is done on the perimeter (i.e. circumference) of the circular garden

Now,

Let the circumference of the circular garden be x m

So,

1 m costs = Rs 25

Then,

⇒ x m costs = 25 * x

As given that the total cost is Rs 5500

So,

⇒ 25x = 5500

⇒ x = 5500/25

[By transporting 25 to RHS]

⇒ x = 220

Therefore,

• The circumference of the circular garden is 220 m

The formula used to find the circumference of the circle is

= 2πr units

⇒ 2 * 22/7 * r = 220

⇒ 44/7 * r = 220

⇒ r = 220 ÷ 44/7

[By transporting 44/7 to RHS]

⇒ r = 220 * 7/44

⇒ r = 35

Thus, the radius (r) of the circular garden is 35m

Now,

Diameter = 2 * r

Diameter = 2 * 35

Diameter = 70 m