Question

1. what time would it be if the minute hand rotated by 180 degrees from the current time? clock image showing 3:00 options: 3:30, 4:00, 2:15, 2:30

Explanation:

Step1: Determine current time

The clock shows hour hand at 3 and minute hand at 12, so current time is 3:00.

Step2: Calculate minutes for 180° rotation

A clock is a circle (360°), with 60 minutes. So per minute, the minute hand moves $\frac{360°}{60} = 6°$ per minute. To move 180°, the number of minutes is $\frac{180°}{6°} = 30$ minutes.

Step3: Find new time

Add 30 minutes to 3:00. 3:00 + 0:30 = 3:30.

Answer:

3:30