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 rope, if it costs Rs.4

per metre.


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Answer 1

Answer:

Since the gardener makes two rounds of the fence

Thus,

Length of rope required = 2 x Circumference of circular garden

Diameter 21 m

Radius= r = Diameter/ 2

=21 /2 m

Circumference of circular garden = 2πr

= 2x 22 21

=22 x 21

= 22 x 3

= 66 m

Now,

Length of rope required = 2 x Circumference of circular garden

= 2 x 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 x 132

= Rs 528

It would cost Rs 528 to fence the gardena

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Answer 2

Answer:

Diameter =21 m

so radius= diameter ÷ 2

$\frac{21}{2}$

gardener wants to fence the circular garden two times . and circumference of circle means it's boundary . so , for finding the length of rope required in one round , we have to calculate it's circumference .

circumference of circle = 2πr

= 2× 22/7×21/2

= 66m

so, length of rope for fencing two times =2×66 m

= 132m

cost of rope = Rs. (4×132)

= 528 rs.