there is a circular pound and footpath runs along its boundary .a man walks around exactly once keeping close to its edge .if his step is 44cm long he takes exactly 600 step to go around the pound .what is the radius of the pound.
Answers
Answered by
341
Solution:-
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.
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.
Answered by
76
Step-by-step explanation:
perimeter of circular pond = 600 * 44cm
= 26400 cm
= 264 m
now,
perimeter of circular pond = 264m = 26400 cm
2πr = 264m = 26400 cm
πr = 132m = 13200 cm
r = 132/3.14m = 13200/3.14 cm
r = 42 m = 4200 cm (approx)
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