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Angle From Hour to Minute Hand

Angle From Minute to Hour Hand

Clock Angle Calculator

Our Clock Angle Calculator finds the angle between an analog clock's hour and minute hands at any given time. Enter the hours and minutes, and get both possible angles — the two hands always split the clock face into two angles that add up to 360°.

How Clock Hands Move

The minute hand completes a full 360° rotation every 60 minutes, moving 6° per minute. The hour hand completes a full rotation every 12 hours, but it doesn't jump instantly between hour marks — it moves continuously, gaining an extra 0.5° for every minute that passes.

Clock Angle Formula

Minute Hand Angle = 6° × minutes
Hour Hand Angle = 30° × hours + 0.5° × minutes
Angle 1 = |Hour Hand Angle − Minute Hand Angle|
Angle 2 = 360° − Angle 1

Example Calculation

Time: 3:15

Minute Hand Angle = 6 × 15 = 90°

Hour Hand Angle = 30 × 3 + 0.5 × 15 = 97.5°

Angle 1 = |97.5 − 90| = 7.5°

Angle 2 = 360 − 7.5 = 352.5°

✓ Angle From Hour to Minute Hand = 7.5°, Angle From Minute to Hour Hand = 352.5°

Features of Our Clock Angle Calculator

✅ Accounts for the hour hand's continuous movement

✅ Shows both possible angles between the hands

✅ Instant, accurate results

✅ Free to use, no sign-up required

Who Can Use This Calculator?

Students & Teachers – For geometry and clock-angle homework problems

Puzzle Solvers – For competitive exams and logic puzzles

Programmers – For verifying clock-face rendering logic

Everyday Users – For quick, curious calculations

👉 Try our Clock Angle Calculator to find the exact angle between clock hands at any time.