Angle converter
Convert mrad to µrad — milliradian to microradian
Convert milliradians (mrad) to microradians (µrad) instantly. 1 mrad = 1,000 µrad. Free calculator with formula, conversion table, and rad base-unit equivalent.
Also searched as: mrad to urad, milli radian to micro radian, milli to micro radian, milli radians to micro radians.
- Scientific Notation
- 1.5 × 10³ µrad
- Real-World Context
- 1 mrad is roughly the laser beam divergence
- Step-by-Step
- 1. Start with 1.5 mrad. 2. Since 1 milli-unit = 1,000 micro-units, multiply by 1,000. 3. 1.5 × 1,000 = 1,500 µrad.
- Formula Used
- × 1,000 (milli = 10⁻³, micro = 10⁻⁶)
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 mrad to µrad answer
1 mrad = 1,000 µrad
multiply by 1,000
1.5 mrad = 1,500 µrad
milliradian to microradian formula
Milli is 10^-3 and micro is 10^-6. They are three powers of ten apart, so every mrad to µrad conversion uses the exact factor 1,000.
µrad = mrad × 1,000
1.5 mrad × 1,000 = 1,500 µradmrad to µrad table
Common values for milliradians converted to microradiansand the base unit (rad).
| milliradians | microradians | radians |
|---|---|---|
| 0.001 mrad | 1 µrad | 0.000001 rad |
| 0.01 mrad | 10 µrad | 0.00001 rad |
| 0.1 mrad | 100 µrad | 0.0001 rad |
| 1 mrad | 1,000 µrad | 0.001 rad |
| 2 mrad | 2,000 µrad | 0.002 rad |
| 5 mrad | 5,000 µrad | 0.005 rad |
| 10 mrad | 10,000 µrad | 0.01 rad |
| 20 mrad | 20,000 µrad | 0.02 rad |
| 50 mrad | 50,000 µrad | 0.05 rad |
| 100 mrad | 100,000 µrad | 0.1 rad |
| 1,000 mrad | 1,000,000 µrad | 1 rad |
Understanding milliradians and microradians
A milliradian (mrad) is 10⁻³ of the base unit (radian) and a microradian (µrad) is 10⁻⁶. They sit three powers of ten apart, so going from mrad to µrad means multiplying by exactly 1,000 — move the decimal point three places to the right.
Milliradians are the aiming unit of rifle scopes and laser alignment: 1 mrad subtends 1 metre at 1000 metres, or about 3.6 inches at 100 yards. Turret clicks are usually 0.1 mrad, which makes the arithmetic on a firing solution trivial.
This calculator shifts the decimal exponent rather than multiplying in binary floating point, so 1.5 mrad returns exactly 1,500 µrad — not a value with a trailing rounding error.
Common mrad to µrad 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 mrad vs µrad
milliradians and microradians 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.