Question

There is a circular pond and footpath runs along its boundary. A man walks around it exactly once keeping close to the edge. If his step is 55 CM long and he takes exactly 400 steps to go round the pond, what is the diameter of the pond?

Answer 1

70m is the diameter of the pond.

Step-by-step explanation:

Let r be the radius of the pond

As we know,

The man takes 400 steps of 55 cm to go around the pond,

∵ Circumference of the pond would be = 55 * 400

= 22000 cm or 220m

Circumference of the pond = 2πr

∵ 220 = 2 * 22/7 * r

r = 220 * 7/44

r = 35m

Diameter of the pond = 2 * r

= 2 * 35

= 70m

Thus, 70m is the diameter of the pond.

Learn more: find the diameter

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Answer 2

Step-by-step explanation:

Hence, the circumference of the pond =55×400

=22,000cm

=

100

22000

=220m.

circumference of the pond is 220m.

circumference of the circular pond =2πr

220=2πr

⇒220=2×

7

22

×r

⇒r=220×

44

7

⇒r=35m

∴ Diameter of the pond =2×r

=2×35

=70m.