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 66 CM long and he takes exactly 400 steps to go round the pond, what is the diameter of the pond? 

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Answer 1

400

$400 \times 66 =264 00$

Answer 2

$\huge{\underline{\underline{\huge{\bold{AnsweR \: :-}}}}}$

Let the radius of the pond be 'r'. since man takes exactly 400 step of 55 cm to go around the pond.

Hence, the circumference of the pond

= 55 × 400

= 22,000 cm

= 22,000 / 100

= 220 m

Circumference of the pond is 220 m

circumference of the circular pond =2πr

220 = 2πr

=> 220 = 2 × 22/7 × r

=> r = 220 × 7 / 44

=> r = 35 m

∴ Diameter of the pond

=2×r

=2×35

=70m.