Question

There is a circular pond and foot path runs along its boundary . A man walks around it exactly one central keeping close to the edge . if his step is 66 cm long and he takes exactly 400 steps to go around the pound what is the diameter of the pound? please help me by drawing figure.

Answer 1

Let the radius of the pond be 'r'.
Since the man takes exactly 600 steps with each step of 44 cm to go around the pond.
Hence, the circumference of the pond 
= 44*600 
= 26400 cm or 26400/100 = 264 m
Circumference of the pond is 264 m
Circumference of the circular pond = 2πr
264 = 2*22/7*r
r = (264*7)/44
r = 42 m
Hence, the radius of the pond is 42 m.
Answer.