What is the length of the minute hand if it travels 3.14 m in half a minute?

Given:
L = 3.14 meters – the path taken by the minute hand in 30 seconds;
pi = 3.14 is a geometric constant.
It is required to determine the length of the minute hand R (meter).
The minute hand moves in a circle with a radius equal to the length of this hand. It completes a full circle in 60 seconds. The length of this circle will be equal to:
C = 2 * pi * R.
Since, according to the condition of the problem, in half a minute it covers a distance equal to L, then:
C / 2 = L;
2 * pi * R / 2 = L;
pi * R = L;
R = L / pi = 3.14 / 3.14 = 1 meter.
Answer: the length of the minute hand of the watch is 1 meter.



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