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A starts from a point that is on the circumference of a circle, moves 600 metre in the North direction and then again moves 800 metre East and reaches a point diametrically opposite the starting point. Find the diameter of the circle?
  • a)
    1000 m
  • b)
    500 m
  • c)
    800 m
  • d)
    900 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A starts from a point that is on the circumference of a circle, moves ...
The diameter of the circle would be given by the hypotenuse of the right triangle with legs 600 and 800 respectively.
Hence, the required diameter = 1000 meters.
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Community Answer
A starts from a point that is on the circumference of a circle, moves ...
Let's consider the given information step by step:

Step 1: A starts from a point that is on the circumference of a circle.
- This means that A starts at some point on the circle.

Step 2: A moves 600 meters in the North direction.
- This means A moves directly upwards from the starting point.

Step 3: A then moves 800 meters East and reaches a point diametrically opposite the starting point.
- This means A moves horizontally to the right by 800 meters.

Now, let's analyze the situation further:

- Since A reaches a point diametrically opposite the starting point after moving 800 meters East, this means that the distance between the starting point and the ending point is equal to the diameter of the circle.
- The distance A moves in the North direction does not affect the diameter of the circle because it is only moving vertically, not changing the horizontal distance.
- Therefore, the distance between the starting point and the ending point is equal to 800 meters.

Hence, the diameter of the circle is 800 meters.

Therefore, the correct answer is option A) 1000 m, as the diameter is twice the distance between the starting and ending points.
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