Final answer:
The minute hand of a clock goes through 4320 degrees in half a day, as it completes 12 full cycles at 360 degrees per cycle.
Step-by-step explanation:
The minute hand of a clock moves through 360 degrees every hour, as it completes one full cycle on the clock face. In half a day, which is 12 hours, the minute hand will complete 12 cycles. Therefore, to determine how many degrees the minute hand travels in half a day, we simply multiply the number of degrees in one cycle (360) by the number of cycles in half a day (12).
360 degrees (per hour) × 12 hours = 4320 degrees.
The minute hand travels through 4320 degrees in half a day.