Question

A gardener wants to fence a circular garden of diameter 21m. Find the length of the
rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the
22
rope, if it costs 74 per meter. (Take it =
7​

Answer 1

Answer:

Since the gardener makes two rounds of the fence

Thus,

Length of rope required = 2 × Circumference of circular Garden

Diameter = 21m

Radius = r = Diameter / 2

= 21/2 m

Circumference of circular Garden = 2πr

= 2 × 22/7 × 21/2

=22/7 × 21

= 22 × 3

= 66m

Now,

Length of rope required = 2 × Circumference of circular garden

=2 × 66

= 132 m

Now, we also need to find cost of rope

Given,

Cost of 1 m rope = Rs 4

Cost of 132 m rope = Rs 4 × 132

= Rs 528

∴ It would cost Rs 528 to fence the garden