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A circular path of radius 40m is situated in a colony.Three boys Ankur, Anand and Amit are sitting at equal distance on its boundary each having a toy telephone in their hands to talk to each other.Find the length of the string of each phone?
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A circular path of radius 40m is situated in a colony.Three boys Ankur...
Understanding the Problem
To find the length of the string of each phone used by Ankur, Anand, and Amit, who are sitting on a circular path, we need to determine the distance between any two boys.

Given Data
- Radius of the circular path (r) = 40 m
- The boys are sitting at equal distances along the circumference of the circle.

Step 1: Calculate the Circumference
The circumference (C) of a circle can be calculated using the formula:
  • C = 2πr
  • C = 2 × π × 40 m
  • C ≈ 251.33 m



Step 2: Determine the Distance Between Each Pair
Since the three boys are equally spaced, they divide the circle into three equal parts. The distance between any two boys (D) can be found by dividing the circumference by the number of boys:
  • D = C / 3
  • D ≈ 251.33 m / 3
  • D ≈ 83.78 m



Conclusion: String Length
The length of the string of each phone, which is the distance between any two boys, is approximately:
  • Length of the string = 83.78 m


Therefore, each boy has a string of approximately 83.78 meters to communicate with the others.
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A circular path of radius 40m is situated in a colony.Three boys Ankur, Anand and Amit are sitting at equal distance on its boundary each having a toy telephone in their hands to talk to each other.Find the length of the string of each phone?
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