Final answer:
The distance that the tip of the minute hand moves in half an hour is 6 cm.
Step-by-step explanation:
The distance that the tip of the minute hand moves in half an hour can be calculated using the formula for the length of an arc:
arc length = radius * angle
Given that the length of the minute hand is 12 cm, the radius of the clock is 12 cm and the angle it moves in half an hour is 180 degrees (since half an hour is half of a complete revolution), we can calculate the distance as follows:
arc length = 12 cm * (180/360) = 6 cm
Therefore, the distance that the tip of the minute hand moves in half an hour is 6 cm.