What is the smaller angle between the hour hand and the minute hand of a clock at 11:25?

💡 Solution & Explanation

Use angle = |30 × H − 5.5 × M|. Here |30 × 11 − 5.5 × 25| = |330 − 137.5| = 192.5°. That is more than 180°, so the smaller angle is 360° − 192.5° = 167.5°. The 5.5 accounts for the hour hand moving half a degree every minute.