There is a circular pond and foot-path runs along its boundary. A man walks around exactly once
keeping close to the edge. If his step is 55 cm long and he takes exactly 400 steps to go round the
what is the diameter of the pond?
Answers
Step-by-step explanation:
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Answer:
7000 cm
Step-by-step explanation:
Let the radius of the pond be x cm
Circumference = 2r
=> 2 × × r
=> r cm
Length of the step = 55cm
No. of steps = 400
Total distance covered = 400 × 55 = 22000cm
Circumference = total distance covered
× r = 22000cm
r = 22000 ×
=> 3500 cm
diameter = 2r
=> 2 × 3500
=> 7000 cm
Therefore, The diameter is 7000 cm