A circular pond has a 80cm wide footpath along its edge. A man walks around the outer edge of the foothpath with 64 cm long steps . In 300 steps he make a full round .what is the radius of the pond?
Answers
Heya mate!!
Here's your answer!!
Length of the step the man takes = 64cm = 0.64 m
Number of steps he takes = 300
Total distance covered by the man = Outer circumference = 0.64 × 300 = 192m
Outer circumference = 192
=> 2 × π × Outer radius = 192
=> 2 × 3.14 × Outer radius = 192
=> Outer radius = 192/ 2 × 3.14
=> Outer radius = 30.57m
By question,
Inner radius = Outer radius + 80cm
=> Outer radius + 0.8m
=> 30.57 + 0.8
=> 31.37m
Therefore the radius of the pond is 31.37m.
Hope it helps you!!
Cheers : D
Mark as Brainliest if it helps!!
#foreverJungkook
Answer:
Circumference of outer edge is equal to 64 X 300= 19200
We know
Circumference = 2 πr
19200=2πr
r=19200×7/44
=3054.54
Radius of pond=radius of outer edge
=3054.54-80
=2974.54cm
=2974.54/100m
=29.7m
hope will be helpful ☺️