Answer :
Final answer:
The length of the minute hand of a clock is approximately 31 cm given that the circumference covered is 62 cm in one rotation. This is found by using the formula for the circumference of a circle and solving for the radius. Therefore, the correct answer is option a) 31 cm.
Explanation:
To find the approximate length of the minute hand of a clock when the tip covers 62 cm in one rotation, we need to understand that the distance covered by the tip of the minute hand relates to the circumference of the circular path it takes. Mathematically, the circumference of a full circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius of the circle.
Since the minute hand covers 62 cm in one rotation, this distance is equal to the circumference of the circle. Therefore, C = 62 cm. To find the radius, we rearrange the formula to r = C / (2π). Plugging in the known values, we get r = 62 cm / (2π)
which is approximately 31 cm. The correct answer is option a) 31 cm.
