Angle converter
Convert µrad to mrad — microradian to milliradian
Convert microradians (µrad) to milliradians (mrad) instantly. 1 µrad = 0.001 mrad. Free calculator with formula, conversion table, and rad base-unit equivalent.
Also searched as: urad to mrad, micro radian to milli radian, micro to milli radian, micro radians to milli radians.
- Scientific Notation
- 1.5 × 10⁰ mrad
- Real-World Context
- 1 µrad is roughly the telescope tracking offset
- Step-by-Step
- 1. Start with 1,500 µrad. 2. Since 1 micro-unit = 1/1,000th of a milli-unit, divide by 1,000. 3. 1,500 ÷ 1,000 = 1.5 mrad.
- Formula Used
- ÷ 1,000 (micro = 10⁻⁶, milli = 10⁻³)
Quick Conversions
| Mega | 1.5 × 10⁻⁹ Mrad |
|---|---|
| Kilo | 0.0000015 krad |
| Base Unit (radians) | 0.0015 radians |
| Nano | 1,500,000 nrad |
| Pico | 1.5 × 10⁹ prad |
Quick µrad to mrad answer
1 µrad = 0.001 mrad
divide by 1,000
1,500 µrad = 1.5 mrad
microradian to milliradian formula
Milli is 10^-3 and micro is 10^-6. They are three powers of ten apart, so every µrad to mrad conversion uses the exact factor 1,000.
mrad = µrad ÷ 1,000
1,500 µrad ÷ 1,000 = 1.5 mradµrad to mrad table
Common values for microradians converted to milliradiansand the base unit (rad).
| microradians | milliradians | radians |
|---|---|---|
| 1 µrad | 0.001 mrad | 0.000001 rad |
| 10 µrad | 0.01 mrad | 0.00001 rad |
| 100 µrad | 0.1 mrad | 0.0001 rad |
| 1,000 µrad | 1 mrad | 0.001 rad |
| 2,000 µrad | 2 mrad | 0.002 rad |
| 5,000 µrad | 5 mrad | 0.005 rad |
| 10,000 µrad | 10 mrad | 0.01 rad |
| 20,000 µrad | 20 mrad | 0.02 rad |
| 50,000 µrad | 50 mrad | 0.05 rad |
| 100,000 µrad | 100 mrad | 0.1 rad |
| 1,000,000 µrad | 1,000 mrad | 1 rad |
Understanding microradians and milliradians
A microradian (µrad) is 10⁻⁶ of the base unit (radian) and a milliradian (mrad) is 10⁻³. They sit three powers of ten apart, so going from µrad to mrad means dividing by exactly 1,000 — move the decimal point three places to the left.
Microradians describe beam divergence, interferometer alignment and telescope pointing. A good HeNe laser diverges around 1000 µrad, while spacecraft attitude control and synchrotron optics work in the single-µrad range.
This calculator shifts the decimal exponent rather than multiplying in binary floating point, so 1,500 µrad returns exactly 1.5 mrad — not a value with a trailing rounding error.
Common µrad to mrad mistake
MOA and mrad are different angular units — 1 MOA ≈ 0.291 mrad. A scope sold in MOA does not convert to mrad by shifting a decimal point, and mixing the two is why a rifle walks off zero.
When to use µrad vs mrad
microradians and milliradians are used for ballistics, laser beam divergence, astronomical observations, and precision alignment. Use the larger milli unit when the number becomes easier to scan, and the smaller micro unit when you need finer detail.