# Clock Angle Calculator

URL: https://speedycalculator.com/calculators/math/clock-angle/
Last updated: 2026-10-25

> The clock angle calculator finds the angle between the hour and minute hands of an analog clock at any time. It gives both the smaller and the larger angle.

## Inputs

- Hour
- Minute

## Results

- Angle between hands
- Reflex angle

## Formula

```
Angle = |30H − 5.5M|
```

## Explanation

The minute hand moves 6° per minute and the hour hand 0.5° per minute, which makes clock angles a classic puzzle.

### How to use the Clock Angle Calculator

- **Hour**
- **Minute**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Compute each hand’s position in degrees from 12 o’clock and take the difference, keeping the result at most 180°.

### Inputs explained

FieldWhat to enterHourA numberMinuteA number

### What each result means

- **Angle between hands** = min([Raw angle], 360 - [Raw angle])
- **Reflex angle** = 360 - [Angle between hands]

### Example values

How the main result changes when **Hour** changes and everything else stays at the example values above:

HourAngle between hands (°)1.537.52.251537.53.75304.552.5697.5

## Worked example

Inputs — Hour: 3; Minute: 15.

Results — **Angle between hands = 7.5 °**; Reflex angle = 352.5 °.

## FAQ

**Why is 3:15 not 0°?**
The hour hand has moved a quarter of the way toward 4, so the angle is 7.5°.

**When do the hands overlap?**
About every 65.45 minutes.

**What formula does the Clock Angle Calculator use?**
Angle = |30H − 5.5M|.